Polynomials & End Behavior

Which graph is NOT a polynomial function?

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Find the incorrect statement

• This function passes through the x-axis at 3

• This function touches and turns around at −4

• This function passes through the x-axis at −2

• This function passes through the x-axis at 1

Tags

CCSS.HSA.APR.B.3

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

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

Determine the end behavior.
f(x) = 2x³ - x + 5

• Left up    Right up

• Left up   Right down

• Left down   Right up

• Left down   Right down

• The end behavior of the graph is x →∞, y→∞ and x→-∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→-∞
• The end behavior of the graph is x →∞, y→-∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞,y→-∞and x→⁻∞, y→⁻∞

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

What is the degree of the polynomial:
f(x) = -4x + 5x³ - 2x²

• Degree 2

• Degree 3

• Degree 4

• Degree 5

Is the degree of the graphed polynomial even or odd?

• Odd

• Even

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