Unit 5 Quest Review

Front

Simplify the expression: 36^1/2

Back

6

Front

Write the expression in exponential form: ∜x^5

Back

x^(5/4)

Front

Determine f^(-1)(2) given f(1) = -3, f(2) = -2, f(-1) = 2, f(3) = -1

Back

-1

Front

Which function matches the graph? A: f(x) = ∛(x + 3) + 2, B: f(x) = − ∛(x - 3) + 2, C: f(x) = ∛(x - 3) + 2, D: f(x) = ∛(x - 2) + 3

Back

C: f(x) = ∛(x - 3) + 2

Front

Find the inverse function of f(x) = 2x + 3

Back

f^(-1)(x) = (x - 3)/2

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

What is the square root of a number?

Back

A value that, when multiplied by itself, gives the original number.

Front

What does the notation x^(1/n) represent?

Back

The n-th root of x.

Front

How do you convert a radical expression to exponential form?

Back

Use the property: n√(x) = x^(1/n).

Front

What is the cube root of 27?

Back

3