Radical Equations and Relationships Review (Test A)

Matching: Match each equation to the verbal description that describes the transformations performed on f that result in g.

• Horizontal translation left 2

• 
• Vertical translation up 2

• 
• Horizontal translation right 2

• 
• Vertical translation down 2

• 

Tags

CCSS.HSF.BF.B.3

The amount of time a basketball player is in the air during a jump, or hang time, is represented by the equation t = 1/2√h, where t represents time in seconds and h represents the height in feet of the jump. If an average high school junior’s hang time is around 0.61 seconds, what is the height of their jump?

• 0.5 feet

• 1 foot

• 1.5 feet

• 2 feet

Tags

CCSS.HSA.REI.A.2

Use the composition of functions to determine whether f(x) and g(x) are inverses of each other. Justify your answer. f(x) = ³√x + 12; g(x) = x³ − 12

• No; f(x) and g(x) are not inverses of each other

• Yes; f(x) and g(x) are inverses of each other because their graphs reflect over the x-axis

• Yes; f(x) and g(x) are inverses of each other because f(g(x)) = 1 and g(f(x)) = 1

• Yes; f(x) and g(x) are inverses of each other because f(g(x)) = x and g(f(x)) = x

Tags

CCSS.HSF-BF.B.4B

• x = −10, x = 6

• x = ±8

• x = −2

• No solution

• I. Vertical stretch

• II. Vertical translation

• III. Horizontal translation

• IV. Reflection about the x-axis

• 
• 
• 
• 

Tags

CCSS.8.EE.A.2

Solve for x.

• x = -3, x = 4

• x = 4

• x = -3

• No solution

Tags

CCSS.HSA.REI.A.2

Find the inverse of f(x) = 3√(x + 4) - 7.

Tags

CCSS.HSF-BF.B.4A

The graph of the function g was obtained from the graph of the function f using a composite transformation as shown on the grid below. Select the equation that represents g.

• g(x) = -∛x - 3

• g(x) = -∛x + 3

• g(x) = ∛x - 3

• g(x) = ∛x + 3

Tags

CCSS.HSF.BF.B.3

Solve ∛(6x - 2) = ∛(x + 8).

• x = -8

• x = 10/7

• x = 2

• x = 6/5

Tags

CCSS.HSA.REI.A.2