Graphs of Polynomials Characteristics

• The graph crosses the x-axis at (2,0) and (-2.5, 0)

• The graph falls to the right and rises to the left

• y-intercept: (0, 3)

Identify the solutions to the system of polynomial equations shown by the intersections of the graphs.

What is the interval of INCREASE on this graph?

• 0 < x < 3

• 3 < x < 9

• 0 < x< 3 and 3 < x < 9

• 0 < x < 8 and 9 < x < 12

Which interval is the function INCREASING over?

• -2 < x < 1

• 1 < x < 4

• -2 < x < 0

• 0 < x < 3

What interval is the function DECREASING over?

• -3 < x < -1

• 2 < x < 3

What interval is the function DECREASING over?

• -2 < x < 1

• 1 < x < 4

• -2 < x < 0

• 2 < x < 3

Select all of the intervals where the graph is increasing? (Select all that apply)

For the given polynomial graph, state the relative maximum?

• 8 at x = 1

• 1 at x = 2

• 2 at x = 1

• -2 at x = -1

For the given polynomial graph, on which x-interval is the function increasing?

Which of the following does this graph not show?

• absolute max

• absolute min

• relative max

• relative min