Analyzing Polynomial Graphs

How many zeros does this parabola have?

• 3

• 2

• 0

• 1

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

When determining where a graph is increasing/ decreasing use...

• x-values

• y-values

Identify the end behavior:

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0

• The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

State the end behavior.
5x⁶ + x⁵ + x + 1

• 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) →-∞

There is a relative minimum at:

• x = -3.5

• x = -4

• x = -2.5

• x = -1

What is the range?

• [-3, infinity)

• [-1, infinity)

• (-infinity, infinity)

• (-infinity, -1]

Is the leading coefficient positive or negative

• positive

• negative

• (0, 4)
• (2, 0)
• (0, 2)
• (-1, 0)

• Even
• Odd
• Neither
• Please explain this to me.