Radical Functions and Rational Exponents Chapter Review

Which function matches the graph?

• f(x) = − ∛(x + 3) − 1

• f(x) = − ∛(x - 3) − 1

• f(x) = ∛(x + 3) − 1

• f(x) = ∛(x - 1) + 3

Simplify.

• -25

• -5

• 1/25

• 1/5

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

What is the domain for: g(x) = √(x + 5) - 3

• -3 ≤ x < ∞

• − ∞ < x ≤ -3

• -5 ≤ x < ∞

• − ∞ < x ≤ -5

What is the Range for: g(x) = √(x + 5) - 3

• -3 ≤ y < ∞

• − ∞ < y ≤ -3

• -5 ≤ y < ∞

• − ∞ < y ≤ -5

Question 3

• 20

• 11

• 4

• -2

Question 7

• 8

• 2

• 9

• 0

Write as a radical expression
y¹⁄ ³

• ∛y

• y³

• √y

• 1∕ 3y

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵