Cubic and Cube root functions

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3

Match the equation to the graph.

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

Write the factors of the polynomial from the zeros in the graph.

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• (x - 3) (x + 2) (x + 5)

• (x - 5) (x - 2) (x + 3)

• (x + 3) (x + 2) (x + 5)

• (x - 3) (x - 2) (x - 5)

Tags

CCSS.HSA.APR.B.3

Identify the Domain

• All Real Numbers
• x≥−6
• x>−6
• x≤-6

Identify the Parent function. 

• y=∛x
• y=√x
• y= −2+∛x
• y=x

Tags

CCSS.HSF.BF.B.3

What is the domain of 
y=√(x+3)−5

• x≥−3
• x≤−3
• x≥−5
• x≤−5

Name the parent function.

• cubic
• cube root
• exponential
• quadratic

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.IF.C.7

Find the x-intercept for:
y=∛(x - 8) + 1

• (0, 9)
• x=7
• x = 3
• (3, 0)

Find the x-intercept for:
f(x)=(x+2)³ - 8

• (0, 2
• (0, 7)
• (0, 0)
• (-2, 0)

Find the y-intercept for:
y=∛(x - 8) + 1

• (0, 9)
• y=-1
• (3, 0)
• y=9