Characteristics of the Graphs of Polynomials

How many of the extrema are minimums?

• 1

• 2

• 3

• 4

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?

• -2 < x < 1

• 1 < x < 4

• -2 < x < 0

• 2 < x < 3

What is the interval of increase?

• (negative infinity, -2)

• (-2, infinity)

• (2, infinity)

• (negative infinity, 2)

What is the relative maximum value?

• y = 4

• y = 2

• y = 1

• y = -1

Which of the following does this graph not show?

• absolute max

• absolute min

• relative max

• relative min

The end behavior can be written as x --> infinity, y --> ___ and as x --> - infinity, y --> ___. 

• infinity, infinity

• -infinity, - infinity

• infinity, - infinity

• - infinity, infinity

Where is the graph increasing?

• (-∞, -2.55) U (2.55, ∞)

• (0, ∞)

• (-2.55, 0) U (2.55, ∞)

• (-6.25, 36)

Where is the decreasing?

• (-∞, -2.55) U (0, 2.55)

• (+∞, -6.25) U (36, -6.25)

• (-∞, ∞)

• (-∞, 0)

What are all the x-intercepts?

• (-2.55, 0), (2.55, 0)

• (-3,0), (-2,0), (2,0), (3,0)

• (0, 36)

• (-∞,∞)