Graphing Polynomials and Rational Functions Review

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

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

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Determine the end behavior of the graph of 
f(x) = 3x⁴ + 2x - 5

• 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) →-∞.

Determine the end behavior of the graph of 
f(x) = -7x³ + 2x - 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) →-∞.

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=0
• (x - 4)(x - 2)(x + 8)=0
• (x - 4)(x + 2)(x + 8)=0
• (x + 4)(x + 2)(x + 8)=0

For synthetic division, what would be the number in the left hand box?

• 0
• -2

• 2
• 3

(2x³ + 5x² + 9)
÷
(x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33, R 108

• 2x² - 5x + 12