End Behavior and Extrema

Describe the end behavior of the graph.

Does this graph have an absolute maximum or absolute minimum?

• absolute maximum

• absolute minimum

• neither

• both

Describe the end behavior that corresponds to the given graph.

Describe the end behavior that corresponds to the given graph.

Describe the end behavior that corresponds to the given graph.

What is the relative max?

• (0, 36)

• (-2.55, -6.55), (2.55, -6.55)

• (-∞, ∞)

• None

There is a relative maximum at:

• x = -1

• x = 3

• x = -0.5

• x = 1.5

Identify the relative maximum:

• (0, 3)

• (4, 1)

• (3, 0)

• (1, 4)

What is the absolute minimum? **This function is continuous.

• x = 2

• x = 1

• x = −1

• No Absolute Minimum

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞