Inverses of Cubic and Cube Root Functions

Which statements are true about the cubic and cube root parent functions. Choose all that apply

• They have an x-intercept at (1,0)

• They are reflections across the line y=x

• They are reflections across the x-axis

• The domain and range are all real numbers.

Match the equation with the graph

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.4C

What is the equation for the red function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Name the parent function.

• linear

• quadratic

• cube root

• cubic

Which is f^-1(x)?

• f^-1(x)=∛(x-8) + 6

• f^-1(x)=∛(x+6) - 8

• f^-1(x)=(x+6)³ - 8

• f^-1(x)=(x-8)³ + 6

What is the inverse of the given function?

Which is f^-1(x)?

• f^-1(x)=4+∛(x+5)

• f^-1(x)=∛(x+4) +5

• f^-1(x)=5+(x+4)³

• f^-1(x)=4+(x+5)³

How do we "undo" a cube root?

• By raising the cube root to the power of 3

• By raising the cube root to the power of 2

• By multiplying by 3

Are the two functions inverses of each other?

• yes

• no

Are these two functions inverses of each other?

• yes

• no