Polynomial Graphs End Behavior and Turning Points

What is the end behavior of the graph of P\left(x\right)=2x^3+3x^2-2x+1?

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

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

• The graph rises to both ends

• The graph falls to both ends

Without using your calculator, determine which o the following equations could represent the graph shown below.

• 4

• less than 4

• more than 4

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

What is the end behavior on the left side

• x →∞, y→∞

• x →-∞, y→-∞

• x →-∞, y→∞

• x →∞, y→∞

Where do you find relative minimums and relative maximums?

• zeros

• y-intercepts

• turning points

• by degree

What is the relative max of this function?

• x = 5

• infinity

• there is no relative maximum

• 2.5 and it occurs at x = 5

Check all the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Check all the intervals where this graph is increasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Fill in the blank:  The maximum number of turning points is ____ less than the degree of the polynomial.

• 0

• 1

• 2

• 3