Polynomial Intervals

On which of the following intervals is the given function BOTH positive and increasing?

Which interval(s) below represent where the given function is negative (Select all that apply)

Is the leading coefficient positive or negative

• positive

• negative

What are the decreasing intervals?

• (- ∞, -1.5) & (0, 1.5)

• (-1.5, 0) & (1.5, ∞)

• (- ∞, -1.5) & (-1.5, 0)

• (-1.5, 0) & (0, 1.5)

What is the end behavior for the graph?

• as x → ⁻∞, f(x) → ⁻∞

  as x→ ∞, f(x)→ ⁻∞

• as x → ⁻∞, f(x) → ∞

  as x→ ∞, f(x) → ∞

• as x → ⁻∞, f(x) → ⁻∞

  as x→ ∞, f(x) → ∞

• as x → ⁻∞, f(x) → ∞

  as x→ ∞, f(x) → ⁻∞

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

In which interval is the function increasing according the graph pictured?

In which interval is the function decreasing based on the pictured graph?

How many of those extrema are maximums?

• 1

• 2

• 3

• 4

Which point is a relative maximum?

• (-1, 0)

• (1, 2)

• (2, 0)

• (0, 1)