Graphing Polynomial Functions

Describe the end behavior:

• $As\ x\ \rightarrow\infty\ f\left(x\right)\rightarrow\infty$
  $As\ x\ \rightarrow\ -\infty\ f\left(x\right)\ \rightarrow-\infty$
  

• $As\ x\ \rightarrow\ \infty\ f\left(x\right)\ \rightarrow-\infty$
  $As\ x\ \rightarrow\ -\infty\ f\left(x\right)\rightarrow-\infty$
  

• $As\ x\ \rightarrow\infty\ f\left(x\right)\ \rightarrow\infty$
  $As\ x\ \rightarrow-\infty\ f\left(x\right)\rightarrow\infty$
  

• $As\ x\ \rightarrow\infty\ f\left(x\right)\rightarrow\ -\infty$
  $As\ x\ \rightarrow-\infty\ f\left(x\right)\ \rightarrow\infty$
  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is the function odd or even?

• Odd

• Even

Tags

CCSS.HSF.BF.B.3

What is the sign of the leading coefficient of the function?

• Positive

• Negative

• Not enough information

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior:

• $As\ x\ \rightarrow\infty\ f\left(x\right)\rightarrow\infty$
  $As\ x\ \rightarrow\ -\infty\ f\left(x\right)\ \rightarrow-\infty$
  

• $As\ x\ \rightarrow\ \infty\ f\left(x\right)\ \rightarrow-\infty$
  $As\ x\ \rightarrow\ -\infty\ f\left(x\right)\rightarrow-\infty$
  

• $As\ x\ \rightarrow\infty\ f\left(x\right)\ \rightarrow\infty$
  $As\ x\ \rightarrow-\infty\ f\left(x\right)\rightarrow\infty$
  

• $As\ x\ \rightarrow\infty\ f\left(x\right)\rightarrow\ -\infty$
  $As\ x\ \rightarrow-\infty\ f\left(x\right)\ \rightarrow\infty$
  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

Is the function odd or even?

• Odd

• Even

Tags

CCSS.HSF.BF.B.3

What is the sign of the leading coefficient of the function?

• Positive

• Negative

• Not enough information

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.SSE.A.1

Given the graph of the polynomial function, describe the relative minimum, round to the nearest hundredth.

(a)  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is this function even or odd?

• Even

• Odd

• Not enough information

Tags

CCSS.HSF.BF.B.3

Classify by degree of polynomial:
3x² – 8x + 1

• Constant
• Linear
• Quadratic
• Cubic

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3