Cubic Functions Review

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

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)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

What is the point of inflection for the following cubic function?

• (-3, -1)

• (0, -4)

• (-1, -3)

• (0, 0)

Describe the transformation of the graph  
y = ½x³

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Vertical stretch by 2

• Horizontal stretch by 2

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1

• Reflected x-axis, Down 1, Left 4, Shrink by 1/2

• Reflected x-axis, Down 1, Left 4, Stretch by 1/2

• Reflected x-axis, Up 1, Right 4, Shrink by 1/2

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

What is the Range of ALL Cube Root Functions in interval notation?

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

Which is f^-1(x)?

• f^-1(x)=3∛(x-6)

• f^-1(x)=-6+3∛x

• f^-1(x)=∛(3x-18)

• f^-1(x)=3(x-6)³

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