Quiz about Attributes & Transformations of Cube Root Functions

Question 1

What does it mean to find the inverse of a function?

Accepted Answer

the x's and y's are switched

Answer

the x's and y's are divided by 2

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 2

What kind of function is represented by the graph?

Accepted Answer

Cube Root Function

Answer

Cubic Function

Answer

Polynomial Function

Answer

Square Root Function

Question 3

Find the inverse of the function.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 4

Find the inverse of the function.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 5

Are these functions inverses of one another?

Accepted Answer

No

Answer

Yes

Question 6

Are these functions inverses of one another?

Accepted Answer

Yes

Answer

No

Question 7

This function has rotational symmetry around the point:

Accepted Answer

(3,5)

Answer

(0,3)

Answer

(5,3)

Answer

(3,0)

Question 8

This function has rotational symmetry around the point:

Accepted Answer

(-1,-2)

Answer

(1,2)

Answer

(1,-2)

Answer

(-1,2)

Question 9

This function has an x-intercept at:

Accepted Answer

(7,0)

Answer

(-1,0)

Answer

(0,7)

Answer

(0,-1)

Question 10

This function has a y-intercept at:

Accepted Answer

(0,-1)

Answer

(-1,0)

Answer

(0,7)

Answer

(7,0)

Question 11

This function has an x-intercept of:

Accepted Answer

(-122,0)

Answer

(0, -122)

Answer

(0, 3.558)

Answer

(3.558,0)

Question 12

This function has a y-intercept of:

Accepted Answer

(0, 3.558)

Answer

(0, -122)

Answer

(-122,0)

Answer

(3.558,0)

Question 13

What is the maximum value of this function on the interval [-3,8]?

Accepted Answer

8

Answer

3

Answer

.48

Answer

1

Question 14

What is the minimum value of this function on the interval [0,9]?

Accepted Answer

1

Answer

3

Answer

4

Answer

8

Question 15

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

Accepted Answer

3 units left, 2 units up, reflected across the x-axis

Answer

3 units right, 2 units up, reflected across the y-axis

Answer

3 units right, 2 units up, reflected across the x-axis

Answer

3 units left, 2 units up, reflected across the y-axis

Question 16

Identify the Transformations.

Accepted Answer

Down 2

Answer

Up 2

Answer

Reflection and stretch by 2

Answer

Reflection and down 2

Question 17

Describe the transformations of the graph shown.

Accepted Answer

none of the above.

Answer

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.

Answer

Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.

Answer

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.

Question 18

Which graph represents the function?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 19

Which graph represents the function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 20

Which graph represents the function?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 21

What is the inflection point of the function? **hint--the inflection point is the point around which the graph has rotational symmetry**

Accepted Answer

(5,-3)

Answer

(5,3)

Answer

(-5,-3)

Answer

(-5,3)

Attributes & Transformations of Cube Root Functions

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