Can somebody help me find the Domain, Range, Horizontal Asymptote, Y-Intercept, and End Behavior of the function f(x) = -2e^x + 4 ?

Answers

Answer 1

Answer:

Domain = R

Range = (-∞, 4)

Hor. asymp = y=4

Y intercept: f(0) = (0,2)

end behaviour:

x → -∞: f(x) → 4

x→ ∞: f(x) → -∞

Step-by-step explanation:

For the domain, it is R because e^x works for all values of x

For the range, y will never be above 4.

The hor. asymptote is found via [tex]\lim_{x \to -\infty} f(x)[/tex] there the e term will be zero, so what is left is y=4.

Y intercept, fill in f(0)

end behaviour: for small x, y goes to the asymptote, for large x, y goes to minus infinity.

Answer 2

Final answer:

Explained the Domain, Range, Horizontal Asymptote, Y-Intercept, and End Behavior of f(x) = -2e^x + 4

Explanation:

Domain and Range:

Domain: All Real Numbers

Range: f(x) ≤ 4

Horizontal Asymptote:

Horizontal Asymptote: y = 4

Y-Intercept:

Y-Intercept: (0, 2)

End Behavior:

End Behavior: As x → ∞, f(x) → 4; As x → -∞, f(x) → -∞


Related Questions

15- the square root of 105 and 5

Answers

Answer:9.75304923404

Step-by-step explanation:

A scatter plot consists of (1,4.0), (2,3.3),(3,3.8),(4,2.6) and (5,2.7) ,the line if best fit used to model the data is ,y= -0.33x+4.27. which residual plot is correct ​

Answers

Answer:

B

Step-by-step explanation:

Consider the expression 7x2 + 9 + 3x. Tell whether each statement is
True or False.
a. The expression has three terms.
b. The coefficient of x is 3.
c. The expression can be simplified to 10x2 + 9.
d. The constant term is 9.​

Answers

Answer:

A is false

b is true

c is false

d is false

Step-by-step explanation:

Final answer:

In this response, the terms of the given algebraic expression are identified, coefficients are determined, and simplification possibilities are explored.

Explanation:

a. True: The expression 7x2 + 9 + 3x has three terms.

b. True: The coefficient of x is 3.

c. False: The expression cannot be simplified to 10x2 + 9. It remains as 7x2 + 9 + 3x.

d. True: The constant term in the expression is 9.

pls help it’s not making sense to me

Answers

Answer:

4/15 didnt i think

Step-by-step explanation:

Answer:

4 : 11  

(The 4 is the people that study French)

(The 11 is the people that don't study French. This includes the people that aren't studying a language at all)

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] of the [tex]\frac{2}{3}[/tex] that study a language, is studying French.

[tex]\frac{2}{5}[/tex]*[tex]\frac{2}{3}[/tex]=[tex]\frac{4}{15}[/tex] so [tex]\frac{4}{15}[/tex] of the entire school studies French. that means [tex]\frac{11}{15}[/tex] of the school doesn't study French. In a ratio, it'd be 4 : 11 ratio

The diameter of a circle measures 8 yd. what is the circumference of the circle?

Answers

Answer:

25.133

Explanation:

c = 2πr

If y = 3x squared + 4 find the value of y when x = 2

Answers

Answer:

The value of y is 16.

Step-by-step explanation:

You have to substitute x = 2 into the equation :

[tex]y = {3x}^{2} + 4[/tex]

Let x = 2,

[tex]y = 3( {2)}^{2} + 4[/tex]

[tex]y = 3(4) + 4[/tex]

[tex]y = 12 + 4[/tex]

[tex]y = 16[/tex]

Answer:

y = 16

Step-by-step explanation:

Let's solve your equation together

3x^2 + 4

We have been given that x = 2

So first we must replace x by 2.

y = 3(2)^2 + 4

Now we solve the equation

2^2 = 4

y = 3(4) + 4

3 * 4 = 12

y = 12 + 4

12 + 4 = 16

y = 16

Hope this helps :)

1/4 inch cubes were used to fill a prism. The dimensions of the prism are 1.5 inches x 1 inch x 3.75 inches. How many 1/4 inch cubes can fit into the prism?

A) 22.5
B) 360
C) 720
D) 180

Answers

Answer:

B) 360 cubes

Step-by-step explanation:

We can start by finding how many cubes fit into the length of the prism (1.5 in) which is 6 cubes for 1.5 in/ 0.25 in = 6.

Then we can find the number of cubes to fit the width of the prism (1 in) which is 4 cubes for 1 in/ 0.25 in = 4.

Finally we find that 15 cubes fit the height (3.75 in) for 3.75 in/ 0.25 in = 15 cubes.

Multiplying the together, we get 6*4*15=360 or B

what is first even number that is a multiple of 5 and 7?

Answers

Answer:

Step-by-step explanation:

5 , 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45 , 50 , 55 , 60

Answer:

70

Step-by-step explanation:

the multiples of 5 are as follows -

5,10,15,20,25,30,35,40,45,50,55,60,65,70

the multiples of 7 are as follows -

7,14,21,28,35,42,49,56,63,70

from what is shown, 70 is the only first common multiple of the two numbers

i hope this helps! :)

What is the radius and diameter of the following circle?
7.5 cm
Radius =
cm
Diameter
=
cm

Answers

Answer:

radius=7.5cm

diameter=15cm

Step-by-step explanation:

diameter=2radius

=2×7.5

=15

Is 600,000,25 greater than 62,500

Answers

Answer:

Yes

Step-by-step explanation:

Yes, 600,000,25 is greater than 62,500.

In the right triangle shown, mZA = 30° and BC = 6/2.
How long is AC?

Answers

Answer:

x = 18

Step-by-step explanation:

Since 30-60-90 triangles have a side ratio of y : y√3 : 2y.

Since 2y, here, is 12√3, then y is 6√3.

This means that the side x, is 6√3 * √3, which is:

x = 6√3 * √3

= 6 * 3

x = 18

simplify 8x - 2y + x + x

Answers

Answer:

10x-2y

Step-by-step explanation:

the x's are really 1x

8x+1x+1x

=10x

the 2y stays the same so you end up with

10x-2y

California has a land area of 163,676 mi2 and a population of 39.51 million people. Find the population density of California to the nearest tenth

answer choices
241.4 people per mi2

4142.6 people per mi2

24.1 people per mi2

0.004 people per mi2

Answers

Answer:

(A)241.4 people per mi²

Step-by-step explanation:

California's Population=39.51 million=39,510,000

California's Land Area=163,676 mi²

Population Density=Population ÷Area

=39,510,000÷163,676

=241.39

≈241.4 people per mi² (correct to the nearest tenth)

Write the system of equations corresponding to the augmented matrix shown below ⎡⎣⎢⎢−8−2150−9−6−11−21−1⎤⎦⎥⎥ Note: Write an equation in each answer field and do not solve the system.

Answers

the system of equations corresponding to the augmented matrix is:

-8x - 2y - 1z = -15 ,0x - 9y - 6z = -11 ,-2x + 1y - 21z = -1

what is augmented matrix ?

An augmented matrix is a way of representing a system of linear equations in a matrix form. It consists of a rectangular array of numbers, where the coefficients of the variables in each equation are placed in one part of the matrix

In the given question,

To write the system of equations corresponding to the augmented matrix, we need to represent the coefficients and constants of the variables.

The given augmented matrix corresponds to the following system of linear equations:

-8x - 2y - 1z = -15

0x - 9y - 6z = -11

-2x + 1y - 21z = -1

where x, y, and z are variables.

Therefore, the system of equations corresponding to the augmented matrix is:

-8x - 2y - 1z = -15

0x - 9y - 6z = -11

-2x + 1y - 21z = -1

To know more about  augmented matrix, visit:

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What is 5 times 6 minus 3

Answers

Answer:

27

Step-by-step explanation:

5 × 6 = 30

30 - 3 = 27

Answer:

27

Step-by-step explanation:

(5) 6 -3     In PEMDAS you Multiply first because M is before S

30 - 3

27

Janie made a 75% on her math test. If she got 15 problema right, how many questions were on the test?​

Answers

20 questions were on her math test

Answer:

20

Step-by-step explanation:

75% of x = 15

x = 20

The mean length of 6 childrens' big finger is 8.3cm. The mean length of 5 adults' big finger is 17.7cm. What is the mean length (rounded to 2 DP) of these 11 people's big finger?

Answers

Answer:

The mean for the whole group is 12.57 cm

Step-by-step explanation:

The mean of the length of each group's finger is given by the following formula:

mean = (sum of lengths from each finger)/number of people

Therefore for the first group:

8.3 = (sum1)/6

sum1 = 8.3*6 = 49.8

For the second group:

17.7 = sum2/5

sum2 = 17.7*5 = 88.5

Therefore the mean from the whole group is:

mean = (sum1 + sum2)/11 = (49.8 + 88.5)/11 = 12.57 cm

hey can anyone pls help me out in dis!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

Graphs A , B , D are graphs of inequalities.  The  show that something is greater than or equal to ( graph A)  or less than or equal to ( Graph B and D)

Graph C is a point.  It is a graph of an equation  

Kali is single and earns $45,800 per year. What is her annual federal withholding?

Answers

The table would continue this pattern up to 1,800 hours

The question involves creating a table that displays the effect of earned income on government support and total income for a single mother, named Susan. Given that Susan earns $8 per hour and loses $1 in government benefits for every $1 earned, we calculate the impact of different work hours on her total income. The table will illustrate the intersection of labor and welfare economics, showing the disincentive to work that some assistance programs might create due to the reduction in benefits as earned income rises.

To provide an example for Susan's situation: If she works 500 hours at $8 per hour, her earnings from work would be $4,000. With government benefits reducing dollar for dollar, Susan's new benefits would be $16,000 - $4,000, which equals $12,000. So, her total income would be her earnings ($4,000) plus the adjusted government benefits ($12,000), totaling $16,000. The table would continue this pattern up to 1,800 hours

An item is regularly priced at $85. Juan bought it on sale for 55% off the regular price. How much did Juan pay?

Answers

$38.25 i’m pretty sure! :)

solve for x 1/2(x-3)=1/3(1-x)

Answers

Answer:

x=2.5906672908862554,−0.2573339575529219

Objects in free fall are constantly picking up speed as they fall back to Earth (prior to reaching terminal velocity).

Answers

Objects in free fall are constantly pick up speed at thay fall back to earth

Answer:

i think true but im not sure

Step-by-step explanation:

Bonnie had 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills in her pocket. She randomly took 3 bills from her pocket. How much money could Bonnie have taken from her pocket?

Answers

Answer:

There are 5 different outcomes, $30, $21, $20, $16 and $11.

Step-by-step explanation:

Bonnie has a total of 6 bills in her pocket. If she takes 3 random bills, this means that there are 20 different possibilities but the five dollar bills and ten dollar bills are not indistinctive so the number is not 20 for this example.

She can take the 1 dollar bill and the two 5 dollar bills which would make 11 dollars.

She can take the 1 dollar bill and the two 10 dollar bills which would make 21 dollars.

She can take the 1 dollar bill, one 5 dollar bill and one 10 dollar bills which would make 16 dollars.

She can take two 5 dollar bills and one 10 dollar bill which would make 20 dollars.

She can take two 10 dollar bills and one 5 dollar bill which would make 30 dollars.

So there are 5 different outcomes, $30, $21, $20, $16 and $11.

I hope this answer helps.

Final answer:

Bonnie could have possibly drawn $11, $21, $20, or $25 by selecting any 3 bills out of 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills.

Explanation:

The question concerns the amount of money Bonnie could have taken from her pocket after randomly selecting 3 bills. To answer this, let's consider her initial set of bills: 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills.

Here are the possible combinations of 3 bills she could draw:

1 one-dollar bill and 2 five-dollar bills: $1 + $5 + $5 = $11

1 one-dollar bill and 2 ten-dollar bills: $1 + $10 + $10 = $21

2 five-dollar bills and 1 ten-dollar bill: $5 + $5 + $10 = $20

1 five-dollar bill and 2 ten-dollar bills: $5 + $10 + $10 = $25

Therefore, the amounts of money Bonnie could have drawn are $11, $21, $20, and $25.

Sine and cosine are both negative in which quadrant?

Answers

Answer:

quad 3

Step-by-step explanation:

Use "all students take calculas"

quad 1: a=all positive

quad 2: s=only sine positive, tan and cos negative

quad 3: t=only tan positive, cos and sin negative

quad 4: c=only cos positive, tan and sin negative

Final answer:

In trigonometry, both sine and cosine are negative in the third quadrant of the coordinate plane, as both the x and y coordinates are negative in this quadrant.

Explanation:

In the context of trigonometry, on the coordinate plane, sine and cosine are both negative in the third quadrant. The sine function represents the y-coordinate and the cosine function represents the x-coordinate of a point on the unit circle. Hence, in the third quadrant, where both x and y are negative, both sine and cosine are negative as well. This is a basic idea from trigonometry and is commonly referred to as the rule 'All Students Take Calculus', which helps to remember the sign of sine, cosine and tangent in each quadrant. A- all (Quadrant I, all are positive), S - Sine (Quadrant II, only sine is positive), T - Tangent (Quadrant III, only tangent is positive), C - Cosine (Quadrant IV, only cosine is positive). Therefore in the III quadrant, both sine and cosine are negative as only tangent (ratio of sine to cosine) is positive.

Learn more about Quadrants in Trigonometry here:

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WILL GIVE BRAINIEST
What is the Magnitude of A?
a) 4
b) −4
c) 3
d) −3

Graph:

Answers

Answer:

c) 3  

Step-by-step explanation:

The magnitude of a vector is its length, ignoring its direction.

Vector a goes from 0 to -3, so its length is 3.

Answer:

c) 3

Step-by-step explanation:

Vector A: < -3, 0 >

Magnitude:

sqrt[(-3)² + 0²]

sqrt(9)

3

10.6771 to the nearest tenth

Answers

10.7 :) that’s the answer hope it’s ok
The answer is 10.7 because you have to round up since it is above 5
Brainliest plzzzzz??!??

when expanded 4x(3 Plus x)​

Answers

Answer:

The answer is 12x + 4x².

Step-by-step explanation:

You have to expand it using Distributive Law :

[tex]4x(3 + x)[/tex]

[tex] = 4x(3) + 4x(x)[/tex]

[tex] = 12x + 4 {x}^{2} [/tex]

Answer this fast please it will also give you easy points

Answers

180-40=140 degrees
Supplementary = add up to 180 degrees

Answer:

80°

Step-by-step explanation:

since the complementary is 40° the supplementary is 80° so its the double.

Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the
graph on the left is correct.
Shelby's Graph
Ashik's Graph
12
00
Who is correct and why?
Mark this and return
Save and Exit
Next
Next
Submit
Submit
OF​

Answers

Answer:

C. Ashik is correct because the points are a strong correlation to this nonlinear association.

just got it right on edge 2020.

please mark as Brainliest.

an option a person might choose when
making a decision.

Answers

A morally conscious one
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