Key Features of the Graph of Polynomial Functions

State the point that you identify the relative maximum on the graph?

• (–2, 0)

• (–1, 4)

• (1, 0)

• (3, 20)

On the interval of (0, 2) what is happening?

• the graph is decreasing

• the graph is increasing

• the graph remains constant

Which points show the relative minimum on the graph?

• (0, 0)

• (–2, 16)

• (2, 16)

• (–2.5, 12)

Given the polynomials: c(x)=x^3-15x^2+72x-112 a(x)=x^2+5 k(x)=x^3+21x^2+144x+324 e(x)=2x^2+28x+96 match each polynomial function to its graph.

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For the given polynomial graph, what is the relative maximum value?

• (-1, -2)

• (-3, 8)

• (1, 2)

• (3, -8)

Over what interval is this function constant?

• -5 < x < ∞

• -3 < x < 4

• 4 < x < ∞

• -5

How many Intervals of Increase occur in this graph?

What are the Relative Maximums on this graph?

• Point A, B and E

• Point A, C, and E

• Point B, D, and F

• Point A, C, D, and F

How many x-intercepts are present in the graph?

• 1

• 2

• 3

• 4

Which letter represents an absolute maximum?

• C

• B

• A

• This graph does not have an absolute minimum.