The function shown is reflected across the y-axis to create a new function.
Which is true about the domain and range of each function?
A.Both the domain and range change.
B.Both the range and domain stay the same.
C.The domain stays the same, but the range changes.
D.The range stays the same, but the domain changes
Answers
Reflecting a function across the y-axis will not change its domain or range; for an even function, such as one described by y(x) = -y(-x), the function is inherently symmetric about the y-axis, and thus both the domain and range remain unchanged.
Explanation:When a function is reflected across the y-axis, its domain and range may be impacted. Reflecting a function across the y-axis replaces each point (x, y) with (-x, y). If the original function is y(x) = -y(-x), then we are dealing with an even function, which is symmetric about the y-axis. In the case of even functions, reflecting them across the y-axis does not change the graph because they are already symmetric. Hence, the domain and the range of the function remain the same after the reflection.
The domain of a function is the set of all possible x-values, and the range is the set of all possible y-values. For a function reflected across the y-axis, the x-values are negated, but since the domain typically includes both positive and negative values for x, the overall set of possible x-values (the domain) does not change. Moreover, the y-values stay the same since they are not affected by the reflection across the y-axis, and thus the range remains the same as well.
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Reflecting a function across the y-axis will not change its domain or range; for an even function, such as one described by y(x) = -y(-x), the function is inherently symmetric about the y-axis, and thus both the domain and range remain unchanged.
The correct option is A. Both the domain and range change.
When a function is reflected across the y-axis, its domain and range may be impacted. Reflecting a function across the y-axis replaces each point (x, y) with (-x, y). If the original function is y(x) = -y(-x), then we are dealing with an even function, which is symmetric about the y-axis. In the case of even functions, reflecting them across the y-axis does not change the graph because they are already symmetric. Hence, the domain and the range of the function remain the same after the reflection.
The domain of a function is the set of all possible x-values, and the range is the set of all possible y-values. For a function reflected across the y-axis, the x-values are negated, but since the domain typically includes both positive and negative values for x, the overall set of possible x-values (the domain) does not change. Moreover, the y-values stay the same since they are not affected by the reflection across the y-axis, and thus the range remains the same as well.
The correct option is A. Both the domain and range change.
Related Questions
Now that you have selected the correct unit above, what is the value of x?
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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
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Part A (4 points): Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
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$80 x .2 = $16
$80-$16 = $64
james conducted an eperent with 4 possible outcomes he determine that the eperimental probability
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The action that is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer is completing the experiment many more times and combining the results to the trials already done.
Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
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Jack invests $500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. if he receives a total of $85 interest in 1 year, at what rate is the $500 invested?
Answers
Final answer:
The $500 was invested at an annual interest rate of 3%.
Explanation:
Let's assume the interest rate for the $500 investment is x %. Therefore, the interest rate for the $2000 investment would be (x + 0.5) %, since it is one-half percent higher.
The total interest received is $85. So, we can set up the equation:
$500(x/100) + $2000((x + 0.5)/100) = $85
Simplifying and solving the equation, we get:
5x + 20(x + 0.5) = 85
5x + 20x + 10 = 85
25x = 75
x = 3
The $500 was invested at an annual interest rate of 3%.
1.Solve for y.
(first picture
y =
2.What is the value of y?
(second picture
y =
Answers
The answer to number two is y= 5
The concession stand at a sports arena sells large 3-pints sodas. on an average night four sodas are sold each minute. how many gallons of soda are sold per hour?
Answers
How do I find the value of b
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The amount it grows is 2x, 2 employees per quarter.
y = 2x + 8
Emelina wrote the equation of a line in point-slope form as shown below.
(y+4)=3(x+2)
What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10
Answers
Answer: [tex]y=3x+2[/tex]
Step-by-step explanation:
Given: Emelina wrote the equation of a line in point-slope form as shown below.
[tex](y+4)=3(x+2)[/tex]
To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get
[tex]y+4=3x+6[/tex]
Now, subtract 4 from both sides , we get
[tex]y=3x+2[/tex]
Hence, Emelina’s equation in slope-intercept form : [tex]y=3x+2[/tex]
Answer: A. y = 3x + 2
Step-by-step explanation:Because it matches up the most to the problem. Its A. Have a great day and stay safe <3
If a square has side length s, then the perimeter is less than the area.
s = 3
s = 5
s = 7
s = 9
Answers
perimeter of a square is 4s....where s is length of one side
4s < s^2.....subbing in 5
4(5) < 5^2
20 < 25 (correct)
so ur answer is : s = 5 (with perimeter being less then area)
area = s^2
so if s=3 then perimeter = 12 and area=9
we cant choose 3
lets try 5 so perimeter will be = 20 and area=25 so 5 is correct and 9 also and 7 too
What is the value of x?
enter your answer in the box
x = [ ]
Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have been given an image of two right triangles and we asked to find the value of x.
First of all , we will find the length of segment RT using sine.
[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
Upon substituting our given values in above formula we will get,
[tex]\text{Sin}(60^{\circ})=\frac{2\sqrt{3}}{RT}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\text{Sin}(60^{\circ})}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{2}}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\sqrt{3}}\times 2[/tex]
[tex]RT=2\times 2[/tex]
[tex]RT=4[/tex]
Now we know that length of segment RT and angle QRT of triangle QRT, so we will use tangent to find the length of segment QR (x) as:
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(45^{\circ})=\frac{x}{4}[/tex]
Multiplying both sides of our equation by 4 we will get,
[tex]\text{tan}(45^{\circ})*4=\frac{x}{4}*4[/tex]
[tex]\text{tan}(45^{\circ})*4=x[/tex]
Substituting [tex]\text{tan}(45^{\circ})=1[/tex] we will get,
[tex]1*4=x[/tex]
[tex]4=x[/tex]
Therefore, the value of x is 4 units.
Quick Question. After dividing 30 by 2, do I multiply 15 by 3 or add 3 it to? (for question d) And thanks!
Answers
Then you divide the 30 by 5 (: okay?
So it's 30 ÷ 5 = 6
Your answer is 6
Good luck!
Answer:
6
Step-by-step explanation:
A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area and perimeter of the square scarf?
Answers
Therefore the dimensions of the rectangle are x and x/2.
Because the perimeter of the rectangle is 15 inches, therefore
2x + 2(x/2) = 15
2x + x = 15
3x = 15
x = 5 in.
The perimeter of the square scarf is 4x = 4*3 = 12 in.
The area of the scarf is 3*3 = 9 in²
Answer:
Perimeter = 12 in
Area = 9 in²
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
measure of Angle 6 = 100 degrees
Since angle 2 and angle 6 are both 100 degrees, this makes them congruent angles. They are also corresponding angles as well.
The fact we have corresponding angles that are congruent leads to AB being parallel to CD. This is using the Converse of Corresponding Angles Theorem.
A landscaper builds a square garden behind a house.if the outside border of the garden consist of 36 feet of bricks then what is the area of the garden in square feet?
Answers
Since 36 is the perimeter, you divide it by 4 because it is a square, and all the sides of a square are congruent. 36 / 4 is 9. 9 is one of the sides of the square. To find the area, square the nine., and get 81 feet.
write an algebraic expression for the word phrase 40% of x
Answers
The algebraic expression for the word phrase 40% of x is 0.40x.
Explanation:The algebraic expression for the word phrase 40% of x is 0.40x. To find 40% of x, you multiply x by 0.40. This means that 40% of x is equal to 0.40 times x.
Final answer:
To write an algebraic expression for the phrase '40% of x', multiply x by 0.40, resulting in the expression 0.40x.
Explanation:
The student is asking to write an algebraic expression for the phrase 40% of x. To convert this phrase into an algebraic expression, we take into account that "of" typically means multiplication in mathematics, and we know that 40% can be written as 0.40. Therefore, the algebraic expression for 40% of x is 0.40 * x or 0.40x.
Frank’s bookshelf is 1 1/2 meters high. Each row in the bookshelf is 3/16 meters high. How many rows are there in Frank’s bookshelf?
will give brainliest to a reasonable answer :P
a)3
b)6
c)8
d)12
Answers
Answer 8 rows.
Hope this helps!
Can u plz mark me as brainliest? I really need it!
Answer:
8 rows
Step-by-step explanation:
It takes a groundskeeper 40 minutes to prepare a little league baseball field for a game. it takes his assistant 50 minutes to prepare the same field. how long will it take if they work together to prepare the field
Answers
5/200+4/200=1/n
9/200=1/n
9n=200
n=200/9 minutes for both of them to prepare the field
☺☺☺☺
solve the equation 12+ 0.35×=20.05
Answers
12 + 0.35X - 12 = 20.05 - 12
0.35X = 8.05
0.35X/0.35 = 8.05/0.35
X = 23
Hope this helps!!
How do you factor trinomials with a common monomial factor?
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Which is equivalent to log2n=4 ?
Answers
Answer:
Option (B): Logn=4Log2
Step-by-step explanation:
Math.
if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar
A. always
B. sometimes
c. never
Answers
From,
Sal Vulcano
Final answer:
The statement is B. sometimes true. Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. However, it is possible for two polygons to have equal angles and not be similar if their sides are not in proportion.
Explanation:
The statement that if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar is sometimes true.
Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. Therefore, if two angles of one polygon are equal to two angles of a second polygon, it is possible that the polygons are similar, but it is not always the case.
For example, consider two rectangles. Both rectangles have two pairs of equal angles, but they may not be similar if their sides are not in proportion.
The midpoint of ab is =m, −3−2 . one endpoint is =a, 2−8 . find the coordinates of the other endpoint,
b.
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The number of transistors per square inch on an integrated chip doubles every 18 months. this observation is known asâ ________ law.
Answers
Source:
https://en.wikipedia.org/wiki/Moore%27s_law
If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and bran flakes
Answers
Answer:
320?
Step-by-step explanation:
sorry if its wrong edg 2020
In how many ways can you order 3 red balls and 2 white balls taken from a bin of 5 blue, 7 red, 3 yellow, and 8 white? (balls with the same color are indistinguishable) (233,2)
Answers
Answer:
It is 8 since I got it right.
Write y = 3x^2-12x+11 in vertex form. I know the answer, just dont know how to show the work.
Answers
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
We have,
y = 3x² - 12x + 11
3x² - 12x can be written as:
Taking out common value.
3(x² - 4x).
Now,
y = 3(x² - 4x) + 11 _____(A)
x² - 4x can be written as:
Squaring we get,
= x² - 2.2x + 2² - 2²
= (x² - 2.2x + 4) - 4
[ (a - b)² = a² - 2ab + b ]
= (x - 2)² - 4 ________(B)
Now,
From (A) and (B) we get,
y = 3 (x - 2)² - 4 + 11
y = 3(x - 2)² + 7
Thus,
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
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Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
Answers
8/x = 4/8
64 = 4x
x = 16
What is the repeating decimal 0.242424.... as a fraction in simplest form?
Answers
So now just take x away from 1000x 999x = 234.234234234… – 0.234234234… = 234 999x = 234 So x = 234/999 Simplify it down. for example x = 26/11 recurring bit doesn’t come directly after the decimal but its a bit harder.
A repeating decimal is a decimal that has reoccurring numbers in a particular sequence.
The fraction in the simplest form is 8/33
The decimal is given as:
[tex]Decimal = 0.242424....[/tex]
The repeating numbers in the decimal are 2 and 4.
So, we express the number as follows (as a fraction)
[tex]Fraction = \frac{24}{100}[/tex]
Subtract 1 from the denominator
[tex]Fraction = \frac{24}{100 -1}[/tex]
[tex]Fraction = \frac{24}{99}[/tex]
Reduce the fraction by dividing the numerator and the denominator by 3
[tex]Fraction = \frac{24/3}{99/3}[/tex]
Simplify
[tex]Fraction = \frac{8}{33}[/tex]
Hence, the fraction is 8/33
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