Quiz about 10-1/10-2/5-1 Review

Question 1

Which of the following represents a square root function?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x}$$

Answer

$$f\left(x\right)=\sqrt[3]{x}$$

Answer

$$f\left(x\right)=\left|x\right|$$

Answer

$$f\left(x\right)=x^2$$

Question 2

Which of the following represents a cube root function?

Accepted Answer

$$f\left(x\right)=\sqrt[3]{x}$$

Answer

$$f\left(x\right)=\sqrt[]{x}$$

Answer

$$f\left(x\right)=\left|x\right|$$

Answer

$$f\left(x\right)=x^2$$

Question 3

Which of the following represents an absolute value function?

Accepted Answer

$$f\left(x\right)=\left|x\right|$$

Answer

$$f\left(x\right)=\sqrt[]{x}$$

Answer

$$f\left(x\right)=\sqrt[3]{x}$$

Answer

$$f\left(x\right)=x^2$$

Question 4

Describe the translation of $$g\left(x\right)=\sqrt[]{x}-5$$ from the parent function $$f\left(x\right)=\sqrt[]{x}$$

Accepted Answer

Down 5

Answer

Up 5

Answer

Left 5

Answer

Right 5

Question 5

Describe the translation of $$g\left(x\right)=\sqrt[]{x-1}+8$$ from the parent function $$f\left(x\right)=\sqrt[]{x}$$

Accepted Answer

Right 1, Up 8

Answer

Left 1, Up 8

Answer

Down 1, Left 8

Answer

Down 1, Right 8

Question 6

Describe the translation of $$g\left(x\right)=\sqrt[3]{x-4}$$ from the parent function $$f\left(x\right)=\sqrt[3]{x}$$

Accepted Answer

Right 4

Answer

Up 4

Answer

Down 4

Answer

Left 4

Question 7

Describe the translation of $$g\left(x\right)=\sqrt[3]{x+2}-7$$ from the parent function $$f\left(x\right)=\sqrt[3]{x}$$

Accepted Answer

Left 2, Down 7

Answer

Up 2, Left 7

Answer

Up 2, Right 7

Answer

Right 2, Down 7

Question 8

Describe the translation of $$g\left(x\right)=\left|x+3\right|+5$$ from the parent function $$f\left(x\right)=\left|x\right|$$

Accepted Answer

Left 3, Up 5

Answer

Right 3, Up 5

Answer

Up 3, Right 5

Answer

Up 3, Left 5

Question 9

Describe the translation of $$g\left(x\right)=\left|x+6\right|$$ from the parent function $$f\left(x\right)=\left|x\right|$$

Accepted Answer

Left 6

Answer

Up 6

Answer

Down 6

Answer

Right 6

Question 10

What type of function is represented in the graph pictured?

Accepted Answer

Absolute Value

Answer

Square Root

Answer

Cube Root

Answer

Quadratic

Question 11

What type of function is represented in the graph pictured?

Accepted Answer

Square Root

Answer

Cube Root

Answer

Absolute Value

Answer

Quadratic

Question 12

What type of function is represented in the graph pictured?

Accepted Answer

Cube Root

Answer

Square Root

Answer

Absolute Value

Answer

Quadratic

Question 13

Write the equation of the graph provided.

Accepted Answer

$$f\left(x\right)=\sqrt[]{x+3}-4$$

Answer

$$f\left(x\right)=\sqrt[3]{x+3}-4$$

Answer

$$f\left(x\right)=\sqrt[3]{x-3}-4$$

Answer

$$f\left(x\right)=\sqrt[]{x-3}-4$$

Question 14

Write the equation of the graph provided.

Accepted Answer

$$f\left(x\right)=\sqrt[3]{x-3}-1$$

Answer

$$f\left(x\right)=\sqrt[]{x-3}-1$$

Answer

$$f\left(x\right)=\sqrt[3]{x-2}-2$$

Answer

$$f\left(x\right)=\sqrt[]{x-2}-2$$

Question 15

Write the equation of the graph provided.

Accepted Answer

$$f\left(x\right)=\sqrt[3]{x-1}+2$$

Answer

$$f\left(x\right)=\sqrt[3]{x-2}+3$$

Answer

$$f\left(x\right)=\sqrt[]{x-2}+3$$

Answer

$$f\left(x\right)=\sqrt[]{x-1}+2$$

Question 16

Write the equation of the graph provided.

Accepted Answer

$$f\left(x\right)=\sqrt[]{x+2}+2$$

Answer

$$f\left(x\right)=\sqrt[3]{x-2}+2$$

Answer

$$f\left(x\right)=\sqrt[]{x-2}+2$$

Answer

$$f\left(x\right)=\sqrt[3]{x+2}+2$$

Question 17

How many points must you include when graphing a square root function? Make sure you know how to graph on paper!

Accepted Answer

Two

Answer

One

Answer

Three

Answer

Four

Question 18

How many points must you include when graphing a cube root function? Make sure you know how to graph on paper!

Accepted Answer

Three

Answer

One

Answer

Two

Answer

Four

Question 19

Write the equation of the graph provided.

Accepted Answer

$$f\left(x\right)=\left|x+1\right|+3$$

Answer

$$f\left(x\right)=\left|x-1\right|+3$$

Answer

$$f\left(x\right)=\sqrt[]{x-1}+3$$

Answer

$$f\left(x\right)=\sqrt[3]{x+1}+3$$

Question 20

What is the vertex of the graph provided?

Accepted Answer

$$\left(-1,3\right)$$

Answer

$$\left(3,-1\right)$$

Answer

$$x=-1$$

Answer

$$x=3$$

Question 21

What is the axis of symmetry of the graph provided?

Accepted Answer

$$x=-1$$

Answer

$$\left(-1,3\right)$$

Answer

$$\left(3,-1\right)$$

Answer

$$x=3$$

Question 22

Write the equation of the graph provided.

Accepted Answer

$$f\left(x\right)=\left|x-5\right|-2$$

Answer

$$f\left(x\right)=\left|x+5\right|-2$$

Answer

$$f\left(x\right)=\sqrt[]{x-5}-2$$

Answer

$$f\left(x\right)=\sqrt[3]{x+5}-2$$

Question 23

What is the vertex of the graph provided?

Accepted Answer

$$\left(5,-2\right)$$

Answer

$$x=5$$

Answer

$$y=-2$$

Answer

$$5$$

Question 24

What is the axis of symmetry of the graph provided?

Accepted Answer

$$x=5$$

Answer

$$y=-2$$

Answer

$$5$$

Answer

$$\left(5,-2\right)$$

Question 25

$$\sqrt[3]{-64}=?$$

Accepted Answer

$$-4$$

Answer

$$-8$$

Answer

$$8$$

Answer

Cannot be solved

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