Analyzing Graphs of Polynomial Functions

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

What is the constant of this polynomial?

2x³ - 8x² + 3x - 7

• 2

• -8

• 3

• -7

Where is the function decreasing?

• (-∞, -1)
• (-1, ∞)
• (-∞, 3)
• (-∞, ∞)

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→⁻∞

Identify the decreasing interval:

• (0, 4)
• (-1, 1)
• (∞, -1) U (1, -∞)
• (-∞, -1) U (1, ∞)

What is the range?

• [-3, infinity)

• [-1, infinity)

• (-infinity, infinity)

• (-infinity, -1]

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

Is the leading coefficient positive or negative

• positive

• negative

• (0, 4)
• (2, 0)
• (0, 2)
• (-1, 0)