Describe End Behavior of Polynomials 2

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→∞ and x→⁻∞, y→⁻∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.A.1

What is the degree?

• Positive
• Negative
• Even
• Odd

Tags

CCSS.HSA.APR.A.1

What is the leading coefficient?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

What is the leading coefficient?

• Positive
• Negative
• Odd
• Even

Determine the end behavior of the graph of 
f(x) = 3x⁴ + 2x - 5

• 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

Which function has this end behavior?
Note: f(x)=y

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function has this end behavior?
Note: f(x)=y

• -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