Relative Maximum and Minimum Polynomial Graphs

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

• (–2, 0)

• (–1, 4)

• (1, 0)

• (3, 20)

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

When is this function increasing?

• -2.5 < x < 2.5

• 0 < x < 5

• 0 < x < 55

• -5 < x < 0

State the point where you identify the relative minimum on the graph?

• (–2, 0)

• (–1, 4)

• (1, 0)

• (3, 20)

Which points show the relative minimum on the graph?

• (0, 0)

• (–2, 16)

• (2, 16)

• (–2.5, 12)

How many Intervals of Increase occur in this graph?

Over which interval of time is this person returning home?

• 8:00 < x < 9:00

• 9:00 < x < 9:30

• 9:30 < x < 11:00

• 12:00 < x < 13:00

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

• the graph is decreasing

• the graph is increasing

• the graph remains constant

f(x) is a polynomial function. Which one of the following statements is FALSE?

• f(x) has a derivative of zero when the graph of f has a relative min or max.

• If the derivative of f(x) changes from positive to negative at some point, then the graph of f has a relative minimum at that point.

• If the derivative of f(x) is always positive, then the graph of f has no relative extrema.

• If the graph of f is always increasing, then the derivative of f(x) is never negative.

When f'(x) changes from positive to negative, there is(are) ...

• maximum.

• minimum.

• no extrema.