Math 3 - Radical Functions

Is relation shown a function?

• YES
• NO

To graph the inverse of a function...

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...

• 1

• x

• 0

• y

What is the best description?

• They are both functions, but not inverse functions.

• They are inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

Rewrite the following

∛x⁵

• $x^{\frac{3}{5}}$

• $x^{\frac{5}{3}}$

• x²

• x³⋅x⁵

Write in exponential form

∛x⁷

• $x^{\frac{7}{3}}$

• $x^{\frac{3}{7}}$

• 3x⁷

• 7x³

Are the blue and red graphs inverse functions?

• Yes, the functions reflect over y = x

• No, they do not reflect over the x - axis.

• No way to tell from a graph

Are the graphs inverses?

• yes

• no

• A

• B

• C

• D

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

• D: [3, ∞)

  R: (-∞, ∞)

• D: (-∞, ∞)

  R: [3, ∞)