HW 2.3 Polynomial Functions and Their Graphs

In the above graph complete the following end behavior: As x --> -∞, f(x) --> ____ As x --> +∞, f(x) --> ____#1

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

In the above graph complete the following end behavior: (f(x)=y) As x --> -∞, f(x) --> ____ As x --> +∞, f(x) --> ____#2

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

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient. #3

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient. #4

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Describe the end behavior of the graph. #5

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

Find all rational zeros, one zero has been given. #6

f(x) = x³-3x²-x+3;   3

• 2,4,3
• -1,1,3
• 3,2,1
• 4,5,6

Find all rational zeros, one zero has been given. #7

f(x) = x³-5x²-2x+24;   -2

• -2,1,0
• -2,-3,-4
• 4,3,-2
• 0,0,0

Find all the real zeros of the function  f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor. #8

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Factor:  x³-12x²+47x-60=0 when 5 is a root. #9

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Find the zeros of the polynomial. #10

f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)
• x= -5, (3/2), (-4/7), 6
• x= 5, (-3/2), (4/7), -6
• x= 6, 5, -2/3, -4/7