Graphing Square and Cube Root Functions

Question 1

Use the graph of f. What is its domain, in interval notation?

Accepted Answer

[2, infinity)

Answer

(2, infinity)

Answer

[8, infinity)

Answer

(-infinity, infinity)

Question 2

How does the graph of f(x) = -3x - 2 - 4 compare with the graph of y = 3x?

Accepted Answer

reflected across the x-axis, then shifted 2 units right and 4 units down

Answer

reflected across the x-axis, then shifted 2 units left and 4 units down

Answer

reflected across the x-axis, then shifted 2 units right and 4 units up

Answer

reflected across the x-axis, then shifted 4 units right and 2 units down

Question 3

What is the domain of f(x) = 3x - 24 + 1, in interval notation?

Accepted Answer

[8, infinity)

Answer

(8, infinity)

Answer

[24, infinity)

Answer

(-infinity, infinity)

Question 4

The green curve is y = cbrt(x) and the purple curve is the graph of f. How does the graph of f compare with the graph of y = cbrt(x)?

Accepted Answer

reflected across the x-axis, then shifted 3 units left and 2 units down

Answer

reflected across the x-axis, then shifted 3 units right and 2 units down

Answer

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

Answer

reflected across the x-axis, then shifted 2 units left and 3 units down

Question 5

How does the graph of f(x) = x - 6 - 7 compare with the graph of y = x?

Accepted Answer

shifted 6 units right and 7 units down

Answer

shifted 6 units left and 7 units down

Answer

shifted 7 units right and 6 units down

Answer

shifted 6 units right and 7 units up

Question 6

Use the graph. The curve has the same shape as y = x. What is its equation?

Accepted Answer

y = x + 6 - 4

Answer

y = x - 6 - 4

Answer

y = x + 6 + 4

Answer

y = x + 4 - 6

Question 7

Use the graph of f. What is its range, in interval notation?

Accepted Answer

[-2, infinity)

Answer

(-2, infinity)

Answer

[-3, infinity)

Answer

(-infinity, -2]

Question 8

How does the graph of f(x) = x - 5 - 6 compare with the graph of y = x?

Accepted Answer

shifted 5 units right and 6 units down

Answer

shifted 5 units left and 6 units down

Answer

shifted 6 units right and 5 units down

Answer

shifted 5 units right and 6 units up

Question 9

How does the graph of f(x) = -3x - 6 - 4 compare with the graph of y = 3x?

Accepted Answer

reflected across the x-axis, then shifted 6 units right and 4 units down

Answer

reflected across the x-axis, then shifted 6 units left and 4 units down

Answer

reflected across the x-axis, then shifted 6 units right and 4 units up

Answer

reflected across the x-axis, then shifted 4 units right and 6 units down

Question 10

The blue curve is y = x and the purple curve is the graph of f. How does the graph of f compare with the graph of y = x?

Accepted Answer

shifted 3 units right and 2 units down

Answer

shifted 3 units left and 2 units down

Answer

shifted 2 units right and 3 units down

Answer

shifted 3 units right and 2 units up

Question 11

Use the graph. The curve has the same shape as y = x. What is its equation?

Accepted Answer

y = x - 4 - 6

Answer

y = x + 4 - 6

Answer

y = x - 4 + 6

Answer

y = x + 6 + 4

Question 12

The green curve is y = cbrt(x) and the purple curve is the graph of f. How does the graph of f compare with the graph of y = cbrt(x)?

Accepted Answer

reflected across the x-axis, then shifted 2 units right and 1 unit up

Answer

reflected across the x-axis, then shifted 2 units left and 1 unit up

Answer

reflected across the x-axis, then shifted 2 units right and 1 unit down

Answer

reflected across the x-axis, then shifted 1 unit right and 2 units up

Question 13

Use the graph. The curve has the same shape as y = x. What is its equation?

Accepted Answer

y = x - 5 - 7

Answer

y = x + 5 - 7

Answer

y = x - 5 + 7

Answer

y = x + 7 + 5

Question 14

How does the graph of f(x) = x - 5 + 2 compare with the graph of y = x?

Accepted Answer

shifted 5 units right and 2 units up

Answer

shifted 5 units left and 2 units up

Answer

shifted 2 units right and 5 units up

Answer

shifted 5 units right and 2 units down

Question 15

How does the graph of f(x) = x - 6 + 2 compare with the graph of y = x?

Accepted Answer

shifted 6 units right and 2 units up

Answer

shifted 6 units left and 2 units up

Answer

shifted 2 units right and 6 units up

Answer

shifted 6 units right and 2 units down

Question 16

How does the graph of f(x) = x - 5 - 3 compare with the graph of y = x?

Accepted Answer

shifted 5 units right and 3 units down

Answer

shifted 5 units left and 3 units down

Answer

shifted 3 units right and 5 units down

Answer

shifted 5 units right and 3 units up

Question 17

Use the graph. The curve has the same shape as y = x. What is its equation?

Accepted Answer

y = x + 4 - 2

Answer

y = x - 4 - 2

Answer

y = x + 4 + 2

Answer

y = x + 2 - 4

Question 18

How does the graph of f(x) = -3x + 1 - 3 compare with the graph of y = 3x?

Accepted Answer

reflected across the x-axis, then shifted 1 unit left and 3 units down

Answer

reflected across the x-axis, then shifted 1 unit right and 3 units down

Answer

reflected across the x-axis, then shifted 1 unit left and 3 units up

Answer

reflected across the x-axis, then shifted 3 units left and 1 unit down

Question 19

What is the range of f(x) = x + 6 - 1, in interval notation?

Accepted Answer

[-1, infinity)

Answer

(-1, infinity)

Answer

[-6, infinity)

Answer

(-infinity, -1]

Question 20

Use the graph of f. What is its range, in interval notation?

Accepted Answer

[-4, infinity)

Answer

(-4, infinity)

Answer

[-5, infinity)

Answer

(-infinity, -4]

BLASTROOM

BLASTROOM

BLASTROOM

Graphing Square and Cube Root Functions

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Graphing Square and Cube Root Functions

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner