Polynomial Characteristics Graphs

Use the graph of f(x) to determine the real solutions to f(x)=0.

• -10

• 2, 5

• 0, 7

• no real solution

What is the range of the quadratic graph?

• (-∞, ∞)

• (∞, -3)

• (-3, - ∞)

• (-3, ∞)

Tags

CCSS.HSF-IF.C.7A

What kind of leading coefficient does the function have?
  f(x) = -x³ + 7x

• positive

• negative

What degree does the function have?
  f(x) = -2x³ + 7x

• even

• odd

Tags

CCSS.HSF.BF.B.3

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

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

Use the graph of f(x) to find the real solutions of f(x)=0.

• 0, 5

• -2

• 0, -4

• no real solution

Q1. What are the coordinates of the points?

• A) (-2.55, 0), (2.55, 0)

• B) (-3, 0), (-2, 0), (2, 0), (3, 0)

• C) (0, 36)

• D) (0, -3), (0, -2), (0, 2), (0, 3)

Tags

CCSS.HSF-IF.C.7A

• A.
• B.
• C.
• D.

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³