State the importance of examining a function analytically as well as graphically.?

Answers

Answer 1
Graphs are a good means of representing data and functions, however, being able to examine a function analytically is just as important.
Answer 2

Answer:

Sometimes it is good to examine function analytically and sometimes it is good to examine function graphically it also depends on the nature of the function.

Moreover, when the function is examined graphically it does not shows the discontinuity of a single point, but it can be examined clearly by analytically.

Also, plotting the graph function is apparently clear by one view but it is not with examining the function analytically.


Related Questions

What is the circumference of the circle in terms of pi? The radius is 2.2
choices are 1.1, 1.21, 2.2 and 4.4
im so confused so could someone please explain what i did wrong?

Answers

I hope this helps you



circumference=pi.r^2



circumference=pi. (2,2)^2


circumference=4,84.pi




We will use formula for circumference of circle:
lets name it as O

O = 2*r * pi

when we express r in this formula we get:

O = 2*2.2*pi
O = 4.4*pi

From this we can see that for given radius, answer is 4.4. The formula only depends on pi and that is what "in terms of pi" means.

Find the 9th term of the following geometric sequence: 1, –3, 9, –27. PLEASEEEEE HELP!!!!!!

A. –5,661
B. 7,241
C. –2,456
D. 6,561

Answers

find common ratio
1 times -3=-3
-3 times -3=9

an=a1(r^(n-1))
a1=first term
r=common ratio
n=which term

an=1(-3)^(n-1)

9th term
n=9
an=1(-3)^(9-1)
an=1(-3)^(8)
an=1(6561)
an=6561


answer is D

Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?

24

25

26

27

Answers

Answer: 24 video games

Step-by-step explanation: jasmine has 1,128 bucks originally. she gets some megadeth and metallica cd's (cause if she's got taste, that's probably what she got) and that adds up to 72 bucks. now she wants to buy a whole bunch of video games, which cost 43 each (imagine she got fortnite mod's. ew) so we put that in an equation-

$1,128 - $72 = $1,056

$1,056 divided by 43 equals 24.55813953488372.

when dealing with money, you always round down, so the total number of games she bought was 24

please mark brainliest

Which of the following is something that will not affect your homeowners insurance premium? a. the distance of the home from a school b. the distance of the home from a flood plain c. the distance of the home from a fire station d. the distance of the home from a fire hydrant

Answers

The correct answer for this question above homeowners insurance premium would be option A. The one that is something that will not affect your homeowners insurance premium would be the distance of the home from school. In addition, the color of the home won't affect it as well. Hope this answer helps.

Answer:

a. the distance of the home from a school

Step-by-step explanation:

The distance your home is from a flood plain can potentially increase your homeowner's insurance.  If your house is close to a flood plain, your insurance will increase.

The distance your home is from a fire station or a fire hydrant either one can lower your insurance.  If your home is within so many feet of a hydrant, you get a discount on your insurance; if it is close enough to a fire station, you get a discount as well.

Since the distance a home is from a school has no bearing on the cost of repairing or replacing the home, this will not affect your homeowner's insurance.

What is equivalent to 3/4 (3y 15)?

Answers

0.75 is equivalent in decimal

round 0.9874 to the greatest non zero place

Answers

0.9874 the greatest non zero place is 9 but the nearest digit is 8 when you round it off to 0.9 the answer becomes 1.0
0.9874~1.0

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

Answers

i hope this helps you

Answer:

Quadratic formula for given equation is [tex]x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}[/tex]

Step-by-step explanation:

Given Quadratic Equation is  7x² = 9 + x

We need to find correct Quadratic formula for the given quadratic equation.

If the quadratic equation is in standard for,

ax² + bx + c = 0

then quadratic formula is given by,

[tex]x=\frac{-b\pm\sqrt{b-4ac}}{2a}[/tex]

First we rewrite the quadratic equation,

7x² - x - 9 = 0

by comparing with standard form of equation we get,

a = 7  ,   b = -1  and c = -9

oNw putting these value in quadratic formula we get,

[tex]x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}[/tex]

Therefore, Quadratic formula for given equation is [tex]x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}[/tex]

what times what equals 429

Answers

20.71 * 20.71 = 429

Your answer is 20.71
If you want more than it is 20.71231517

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b

Answers

"h and k cannot both equal zero" -- yes, it can. if the vertex of a parabola is at (0, 0), there's nothing incorrect/invalid about that!!

"k and c have the same value" -- k and c do not have the same value. "k" is the y-value of the vertex and c is the constant in your quadratic equation, and the constant is not necessarily the y-value.

"the value of a remains the same" -- this is true. the a's in your equations are the same values, because the a-value is the coefficient of the x-variable in both equations. y = a(x - h)^2 and y = ax^2 -- both of these have a applying to your x-variables.

"h is equal to one half -b" -- this isn't true. the formula for calculating the x value of the vertex (h is the x-value of the vertex) is h = (-b/2a). -b/2a is not the same as one half -b because this answer choice doesn't involve the a-value.

Quadratic equations can be expressed in standard form or in vertex form.

The true statement about [tex]\mathbf{y = ax^2 + bx + c}[/tex] and [tex]\mathbf{y = a(x - h)^2 + k}[/tex] is that: the value of a remains the same

The original expression is given as:

[tex]\mathbf{y = ax^2 + bx + c}[/tex]

He wants to rewrite it as:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

Expand the above equation

[tex]\mathbf{y = a(x - h)(x - h) + k}[/tex]

Open brackets

[tex]\mathbf{y = a(x^2 - hx - hx + h^2) + k}[/tex]

[tex]\mathbf{y = a(x^2 - 2hx + h^2) + k}[/tex]

Remove bracket

[tex]\mathbf{y = ax^2 - 2ahx + ah^2 + k}[/tex]

Compare the above equation to: [tex]\mathbf{y = ax^2 + bx + c}[/tex]

[tex]\mathbf{ax^2 = ax^2}[/tex]

[tex]\mathbf{-2ahx = bx}[/tex]

[tex]\mathbf{ah^2 + k = c}[/tex]

Analyzing the above equations

[tex]\mathbf{ax^2 = ax^2}[/tex]

Divide both sides by [tex]\mathbf{x^2}[/tex]

[tex]\mathbf{a = a}[/tex]

The above equation means that, the value of a remains unchanged.

Hence, option (c) is true

Read more about equations at:

https://brainly.com/question/19173306

During which two time intervals does the particle undergo equal displacement?

Choices:

a) AB & BC
b) AB & DE
c) BC & DE
d) CD & DF

Answers

It’s AB and DE so it would be b

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population?

Answers

n is greater than or equal to 30 would be the condition that must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population.

Write9^3 *p without exponents

Answers

9^3 * p = (9 * 9 * 9) * p = 729p
729p I got this by multiplying 9*9*9 then placing p at the end

If f'(x)=g'(x) for all x in an interval I, what is the relationship between f and g ...?

Answers

well they both have an x and they are both should be intervals I think

Emily has a coupon for 20% off her purchase. She finds a backpack on the discount rack. It's original price is $60 but is 30% off. Emily thinks 30% & 20 % make 50% so the backpack will be $30. Is Emily correct? Explain your answer.

Answers

It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.

Use you graph to estimate the value of x when y = 2. How would you work that out?

Answers

What the question is asking you to do is list what numbers x is equal to, whenever y is equal to 2

for example, if your equation was y=1/2x,

you would do this: 2=1/2x, then solve

2( 2=1/2x ) equals

4 = x

Is the square root of 100 rational or irrational?
What about the square root of 0.25?

Answers

The square root of 100 and of 0.25 are both rational as they are finite numbers, the square root of 100 being 10 and the square root of 0.25 being 0.5.

Final answer:

The square root of 100 is rational, as is the square root of 0.25.

Explanation:

The square root of 100 is a rational number. A rational number is a number that can be expressed as a quotient or fraction of two integers, where the denominator is not zero. In this case, the square root of 100 is 10, which can be written as 10/1, making it a rational number.

The square root of 0.25 is also a rational number. The square root of 0.25 is 0.5, which can be expressed as 1/2, making it a rational number.

Cylinder has a height of 14 centimeters and its circle bases have a radius of 10 centimeters. find the surface area of the cylinder.

2(100  ) + 140   square centimeters
1,400  + 140   square centimeters
2(100  ) + 280   square centimeters
2(1,400  ) + 2(140  )  square centimeters

Answers

200 plus 140 is 300 
1400 plus 140 is 1540
200 plus 280 is 480
and 2800 plus 280 3080

Which one is the greater quantity 1/3 of a box of corn crinkles or 50% of a box of corn krinkles

Answers

1/3=0.3333333333333
50%=0.50

0.50>0.33333333333333
50%>1/3

50% is biger
50% is bigger because if you divide 1/3 it equals 0.333333 and it just keeps going. 50% equals 0.5

A consistent system of equations is a system with __________.

the same line
parallel lines
intersecting lines and lines that have the same slope
intersecting lines and lines that have the same equation

Answers

intersecting lines and lines that have the same equation

The number 0.1111... repeats forever; therefore, it is irrational. True or False.

Answers

Answer is True. We cannot write it in rational form where both numbers are finite integers. In this case we cannot represent this number as fraction of finite integers therefore it is irrational.
The correct answer is false.

lim cos(pi+h)+1 / h
h->0

evaluate the limit

Answers

by applying hopital's rule 
Lim cos(pi+h)+1 / h  = Lim (cos(pi+h)+1)' / h' = Lim -sin(pi+h)+1 / 1=  -1/1=-1
h->0                            h->0                                 h->0

What is the smallest angle of rotational symmetry for a square

Answers

is it 90 degrees because all square have a 90 degree angle?

When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.

We know that the order of rotation for a square is 4.

Hence, we have [tex]\frac{360}{4} =90^{\circ}[/tex]

Thus, the angle of rotational symmetry of square are

[tex]90^{\circ}, 180^{\circ}, 270^{\circ}[/tex]

Hence, the minimum angle  of rotational symmetry is  [tex]90^{\circ}[/tex]

Therefore, the minimum angle of rotational symmetry for a square is 90 degrees.

The amount of time Ricardo spends brushing his teeth follows a Normal Distribution with unknown mean and standard deviation. Ricardo spends less than one minute brushing his teeth about 40% of the time. He spends more than two minutes brushing his teeth 2% of the time. Use this information to determine the mean and standard deviation of this distribution.

Answers

THE ANSWER IS 42 I THINK THAT HE DONE IT 42 TIMES AND THAT IS SO GOOD HE HAD 42 MIN ON THE CLOCK HE DONE PRETTY GOOD YOU ARE AT LEAST TO DO IT 3 TIMES A DAY MORNING ,AFTERNOON AND THE EVENING THAT IS PRETTY DANG GOOD

Select Is a Function or Is not a Function to correctly classify each relation.




Title
Is a Function
Is not a Function
{(3, 7),(3, 6),(5, 4),(4, 7)}
{(1, 5),(3, 5),(4, 6),(6, 4)}
{(2, 3),(4, 2),(4, 6),(5, 8
{(0, 4),(3, 2),(4, 2),(6, 5)}


Answers

Answer:

{(3, 7),(3, 6),(5, 4),(4, 7)}     →    is not a Function{(1, 5),(3, 5),(4, 6),(6, 4)}     →    is a Function{(2, 3),(4, 2),(4, 6),(5, 8)}    →    is not a Function{(0, 4),(3, 2),(4, 2),(6, 5)}    →    is a Function

Step-by-step explanation:

A relation from a set X to a set Y is called a function, if each element of X is related to one and exactly one element in Y. Though many elements of X can be related to one element in Y (many to one).

{(3, 7),(3, 6),(5, 4),(4, 7)} → is not a Function (as (3, 7), (3, 6) share same x)

{(1, 5),(3, 5),(4, 6),(6, 4)} → is a Function

{(2, 3),(4, 2),(4, 6),(5, 8)} → is not a Function (as (4, 2), (4, 6) share same x)

{(0, 4),(3, 2),(4, 2),(6, 5)} → is a Function


Answer: ^^^ that person was correct

Step-by-step explanation:

Kate ate 1 out of 4 of her orange. ben eat 2 out of 4 of his banana. did kate and ben eat 1 out of 4 add 2 out of 4 equal 3 out of 4 of their fruit? explain

Answers

no its 3 of 8 because you have to add the max fruit which is 8 and how many did they eat together which is 3 

What is the end behavior of f(x) = (x − 3)2(x + 5)(x − 2)3?

Answers

The total power of the polynomial is 6 so it would take on the same end behavior as a parabola. As x approaches infinity y approaches infinity, as x approaches negative infinity y approaches infinity.
I hope this helps.

T he end behavior of f(x) can be described as:

As x → -∞, f(x) → +∞

As x → +∞, f(x) → +∞

To determine the end behavior of f(x) = (x − 3)²(x + 5)(x − 2)³, we need to consider the degree and leading coefficient of the polynomial.

1. Degree of the Polynomial:

The degree is the highest sum of exponents of the variable x in any term. In this case:

(x - 3)² contributes a degree of 2 (x² term)

(x + 5) contributes a degree of 1 (x term)

(x - 2)³ contributes a degree of 3 (x³ term)

Adding these degrees, we get a total degree of 2 + 1 + 3 = 6.

2. Leading Coefficient:

The leading coefficient is the coefficient of the term with the highest degree. Since all factors have a leading coefficient of 1, the leading coefficient of the entire polynomial will also be 1 (positive).

3. End Behavior Based on Degree and Leading Coefficient:

Even Degree & Positive Leading Coefficient: When the degree is even and the leading coefficient is positive, both ends of the polynomial will approach positive infinity. In other words, as x approaches both positive and negative infinity, f(x) will also approach positive infinity.

Therefore, the end behavior of f(x) can be described as:

As x → -∞, f(x) → +∞

As x → +∞, f(x) → +∞

Complete question:

What is the end behavior of [tex]f(x) = (x - 3)^{2} (x + 5)(x - 2)^{3}[/tex]?

How many possible three-digit passwords can be formed using digits 0 through 9 if digits are repeated?

30 ,
720 ,
1,000 ...?

Answers

Answer:

The correct option is 3.

Step-by-step explanation:

Total digits 0 to 9 are

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Total number of digits is 10. It means total possible ways to select the first digit of the password is 10.

Since the reparation is allowed, therefore the possible ways to select the second and third digit of the password is 10.

Total possible ways to form a three-digit passwords is

[tex]10\times 10\times 10=1000[/tex]

Therefore the correct option is 3.

There are 1,000 possible three-digit passwords that can be formed using the digits 0 through 9 when repetition of digits is allowed, calculated as 10 possibilities for each of the three positions (10 x 10 x 10).

To determine how many possible three-digit passwords can be created using the digits 0 through 9 with repetition allowed, we consider each of the three positions in the password separately. For each position, we can use any of the 10 digits (0-9), leading to 10 possibilities for each digit.

Therefore, the total number of combinations for a three-digit password is:

First digit: 10 possibilities (0-9)Second digit: 10 possibilities (0-9)Third digit: 10 possibilities (0-9)

By the rule of product, we multiply the possibilities for each digit:

10  imes 10  imes 10 = 1,000

Thus, there are 1,000 possible three-digit passwords when digits can be repeated.

y = 3x

x + 2y = -21
Solve the system.  Write your answer as an ordered pair (x, y)

Answers

The solution is -3, good luck on anymore questions.

I need help on this asap i'll give you so many points!!

Answers

So. The total of the interior angles of a triangle, are equal to 180°. So...add them together, and solve for X.

30x+60=180
30x=120
x=4

The distance adjacent to the smallest angle is the smallest.

Carrie=70°
Nayla=87°
Maria=23°

So...the distance across from Maria.

Carrie and Nayla are closest to each other.

Please solve:
x+y=8.
xy=15. ...?

Answers

x=3 or 5 ... y=3 or 5
X + y = 8
Xy = 15

Basically solve for one of the 2 variables in either of the functions and plug in the solved variable for the unsolved equation.

X + y = 8
xy = 15
Xy/X = 15/x
y = 15/X

X + y = 8
X + (15/X) = 8.
X/1 + 15/X = 8

Find the common denominator by multiplying by X to both the top and bottom of X/1.

X^2/X + 15/X = 8
(X^2 + 15)/X = 8
X • (X^2 + 15)/X = 8 • X
X^2 + 15 = 8X
X^2 - 8x + 15 = 0
Factor the quadratic
(X-5)(X-3) = 0
X = 5 and X = 3.
Now solve for the y values in each case by substituting the appropriate X value in the equation:
Y = 15/X, so for X = 5
Y = 15/5 = y = 3.
So one solution point would be = (5,3).
Do the same for the other X value.
Y = 15/X, so for X = 3
Y = 15/3 = Y = 5.
The other solution point would be (3,5).

To check if this is the solution to both equations plug in each point for both equations, the equations should be true for each point.

P(5,3) and P(3,5).

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