PreCalculus Test 3 Review

PreCalculus Test 3 Review

Test is tomorrow, 12/17/20.

End Behavior

Multiple Choice

Describe the end behavior of the graph.

• 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) → ∞

Multiple Choice

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

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

Multiple Choice

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 

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

Factoring

(non-zero hunting way)

Multiple Choice

Factor: x⁴ + 2x² - 35

• (x² + 7)((x² + 5)

• (x + 7)(x - 5)

• (x² + 7)(x² - 5)

• (x² - 7)(x² + 5)

Rational Zero Theorem and Descarte's Rule of Signs

Multiple Choice

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

Multiple Choice

List all of the possible rational zeros 
p(x) = 3x²+x+7 

• -1/3, -7/3, -1, -7, 1/3,7/3,1,7
• 1/3,7/3,1,7
• 1, 7, 14, 21

Graphing Functions Given Zeros

Remainder and Factor Theorem

Multiple Choice

Is (x-3) a factor of

(x³ - 3x² + 2x + 2)? (Use the remainder and factor theorem).

• Yes

• No

Multiple Choice

Is (x-4) a factor of (x³ +x² -16x-16)? (use the Remainder and Factor theorem)

• YES

• NO