Unit 7 Review Cube and Cube Root Functions

Mathematical Equivalence

ON

• Subtract 3 from both sides

• Multiply both sides by 3/2

• Cube both sides

What is the second step to solve -3(x+4)³+5=14

• Cube root both sides

• Subtract five to both sides

• Add 3 to both sides

• Divide by -3 on both sides

• Subtract four on both sides

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.

Tags

CCSS.HSF-IF.C.7B

• Shift left four

• Reflection across x-axis

• Vertical compression of -3

• Vertical stretch of 3

• Shift right four

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• linear
• quadratic
• cube root
• cubic

f(x) = ⅔(x - 7)² 

• Vertical compression of ⅔
  Right 7
• Horizontal compression of ⅔
  Left 7
• Vertical stretch of ⅔
  Right 7
• Horizontal stretch of ⅔
  Left 7

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Solve for x:

(3x + 1)³ = 64

• -1

• 6

• 1

• No real solution