End Behavior Independent Prac.

What is the degree?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.BF.B.3

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

f(x) = 9x⁶ - 11x⁵ + 4x⁴ - x²

• UP and UP
• DOWN and DOWN
• UP and DOWN
• DOWN and UP

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -5x⁴ - 3x + 2

• Degree 2 (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

y = x² - 4x + 5

• down and down
• down and up
• up and down
• up and up

Tags

CCSS.HSF-IF.C.7A

Use your graphing calculator to graph the function below. Then describe the end behavior.
f(x) = 2x - 5

• f(x) falls as x decreases
  f(x) rises as x increases
• f(x) rises as x decreases
  f(x) falls as x increases
• f(x) rises as x decreases
  f(x) rises as x increases
• f(x) falls as x decreases
  f(x) falls as x increases

Determine the end behavior of the graph of 
f(x) = -7x³ + 2x - 1

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.
• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.
• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.
• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree?

• Positive
• Negative
• Odd
• Even