The Cube Root Function — Quiz

Question 1

What is the domain of f of x is equal to cube root of x ?

Revolt · Accepted Answer

all real numbers

Question 2

Which describes how to graph h of x is equal to negative cube root of x plus 8 by transforming the parent function?

Revolt · Accepted Answer

Reflect the parent function over the x -axis, and translate it 8 units to the left.

Question 3

The graph of y is equal to cube root of x is reflected over the y -axis and then translated down 2 units to form f of x Which is the graph of f of x ?

Revolt · Accepted Answer

Image with description A coordinate plane with a curve. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 5 to 5 in increments of 1. An S-shaped curve decreases from left to right, intersecting the y-axis near the point 0 comma negative 2, intersecting the x-axis at the point negative 6 comma 0, and passing through the points negative 10 comma 0 point 2 6 and 6 comma negative 4.

Question 4

Which is the graph of the cube root function f of x is equal to cube root of x ?

Revolt · Accepted Answer

Image with description A coordinate plane with a curve. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 5 to 5 in increments of 1. A curve begins with an arrow near the point negative 10 comma negative 2 at the lower left, increases gradually through the third quadrant, passes through the origin, and continues increasing through the first quadrant, ending with an arrow near the point 8 comma 2 at the upper right, forming an S-shaped curve with a gentle positive slope.

Question 5

Which cube root function is always decreasing as x increases?

Revolt · Accepted Answer

f of x is equal to negative cube root of x plus 5

Question 6

Which equation represents g of x ?

Revolt · Accepted Answer

g of x is equal to cube root of x minus 4

Question 7

Which is the graph of the cube root function f of x is equal to cube root of x ?

Revolt · Accepted Answer

Image with description A coordinate plane with a curve. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 5 to 5 in increments of 1. A curve begins with an arrow near the point negative 10 comma negative 2 at the lower left, increases gradually through the third quadrant, passes through the origin, and continues increasing through the first quadrant, ending with an arrow near the point 8 comma 2 at the upper right, forming an S-shaped curve with a gentle positive slope.

Question 8

The function f⁡(x)=root(3, x) is reflected over the horizontal axis and then translated 6 units down to create the function g⁡(x) Complete the steps to explain how to graph the function g⁡(x) Enter your answers in the boxes. Step 1 : The y -intercept of f⁡(x) is (0,0) Plot the y -intercept of g⁡(x) at [Blank 1] . Step 2 : Plot points for g⁡(x) at (−8 , [Blank 2] ) , (−1,−5) , (1 , [Blank 3] ) , and (8,−8) Step 3 : Draw a curve through these points to graph g⁡(x)

Revolt · Accepted Answer

(0,-6)|-4|-7

Question 9

What is the range of the graphed function?

Revolt · Accepted Answer

start set y such that y is a real number end set

Question 10

What is the domain of the graphed function?

Revolt · Accepted Answer

start set x such that x is a real number end set

The Cube Root Function — Quiz Answers

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