Free Printable Key Features of Square & Cube Root Functions

1.

What is the domain?

Use scratch paper to set everything unde the $\sqrt[]{\ \ \ }\ \ge\ 0$

a)

(- ∞, -2 ]

b)

[ 0 , ∞ )

c)

All Real Numbers

d)

[ -2 , ∞ )

2.

Find the domain.

Use a scratch graph to help you visualize things.

a)

Domain: (-∞, ∞)

b)

Domain: [1, ∞)

c)

Domain: [-1. ∞)

d)

Domain: [4, ∞)

3.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

4.

What is the right end behavior?

a)

$x\ \rightarrow\ \infty,\ y\ \rightarrow\ -\infty$

b)

$x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\ \infty$

c)

$x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$

d)

$x\ \rightarrow\ -\infty,\ y\ \rightarrow\ \infty$

5.

What is the right end behavior?

a)

$x\ \rightarrow\ \infty,\ y\ \rightarrow\ -\infty$

b)

$x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\ \infty$

c)

$x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$

d)

$x\ \rightarrow\ -\infty,\ y\ \rightarrow\ \infty$

6.

Which equation matches the given graph?

a)

y = - √(x + 1)

b)

y = √(x + 1)

c)

y = - √(x) - 1

d)

y = - √(x) + 1

7.

What is the Y-intercept of the function?
$y\ =\ 4\ \sqrt[]{x\ }\ -\ 1$

a)

(0,-1)

b)

(∞,-1]

c)

[-1,∞)

d)

[4,-1]

8.

What is the y-intercept of the function?

(a)

9.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

10.

What is the Domain of ALL Cube Root Functions in interval notation?

a)

(−∞,∞)

b)

−∞<x<∞

c)

(−∞,0]

d)

All Cube Root Functions are different.

11.

What is the Range of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

12.

Which of the facts is not true about the graph shown?

a)

The range is y ∈ ℝ

b)

The function has been shifted 6 units right.

c)

The function has been shifted up 1 unit

d)

The function has been vertically stretched by a factor of 2.

13.

What is the A-value of the function?

(a)

14.

What is the H-value of the function?

(a)

15.

What is the K-value of the function?

(a)

16.

Which graph represents the function?

a)

b)

c)

d)

17.

Which graph represents the function?

a)

b)

c)

d)

18.

What is the solution for the function?

(a)

19.

What is the x-intercept of the function?

(a)

Key Features of Square & Cube Root Functions

Total questions: 19

Worksheet time: 24mins

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