Chapter 4 Polynomials Review: Algebra 2

List the transformations to the parent function in y = -(x + 4)²- 3

• reflect over y, right 4, down 3
• reflect over y, left 4 down 3
• reflect over x, right 4, down 3
• reflect over x, left 4, down 3

Describe the transformation of y = f(x) for the new function
 y = f(5x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Describe the transformation of y = f(x) for the new function
 y = f(1/5x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

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

What is the degree of the above polynomial graph?

• 3
• 4
• 5
• 6

Tags

CCSS.HSA.APR.B.3

What is the smallest possible degree of the function

• 1st
• 3rd
• 4th
• 5th

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

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

Identify the increasing interval:

• (-∞, 1) U (3, ∞)
• (-∞, 4) U (3, ∞)
• (-∞, 1) U (0, ∞)
• (-5, 4) U (3, 5)

Is the graph an even, odd, or neither function
                        f(x) = x² + 2

• Even 
• Odd
• Neither

Tags

CCSS.HSF.BF.B.3