Cubic and Cube Root Functions Inverses

Which of the following is the graph of

y = -0.5(x)^1/3 ?

• 
• 
• 
• 

• The range is y ≥ 1

• It has been reflected over the x-axis

• The function has been shifted up 1 unit

• The function has been shifted up 2 units

Identify the parent function of the graph.

• Logarithmic

• Linear

• Absolute Value

• Cubic

The cube root function is invertible.

• True

• False

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

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.

Name the parent function.

• linear

• quadratic

• cube root

• cubic

Match the equation with the graph

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.4C

What is the equation of the graph shown?

• y= (x-2)³ + 4

• y= (x+2)³ + 4

• y = - (x-2)³ + 4

• y= - (x+2)³ + 4

What is the equation of this function?