Cubic Polynomial Functions

What is the relative min of this function??

• -3.333

• 1.185

• -2

• 0

How many x-intercepts does the cubic function shown have?

• 0

• 2

• 3

• 1

How many zeros does the cubic function shown have?

• 0

• 2

• 3

• 1

How many extrema (maxes and mins) are in the picture?

• 2

• 3

• 4

• 5

What is the relative max of this function?

• x = 5

• infinity

• there is no relative maximum

• 2.5 and it occurs at x = 5

Find the point(s) of inflection (if it exists) of the graphed function.

• No point of inflection

• Points K, R, and S.

• Points K and S

• Points P, Q, K, R, S, and T

• Points Q and T

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Describe the transformation of the graph y = -2(x + 5)³

• Vertical compression by 2, Reflected over y-axis, Right 5

• Vertical stretch by 2, Reflected over x-axis, Left 5

• Vertical stretch by 2, Reflected over x-axis, Right 5

• Vertical compression by 2, reflected over y-axis, Left 5

The function shown in the graph is:

• Even

• Odd

• Neither Even nor Odd

• Not a Function

Fill in the blank:  The maximum number of real zeros is equal to the ____________ of the polynomial.

• degree

• number of terms

• turning points