Polynomial Graph Characteristics

Classify the following polynomial by degree:

 $3x^2+5x-1$  

• Linear

• Constant

• Quadratic

• Cubic

Classify the following polynomial by number of terms:

 $f\left(x\right)=5x^3-6$  

• Binomial

• Monomial

• Trinomial

• Quadnomial

Is the function represented by this graph of an Even or Odd degree? Is the leading coefficient (LC) positive or negative?

• Even degree, Positive LC

• Odd Degree, Positive LC

• Even degree, Negative LC

• Odd degree, Negative LC

Tags

CCSS.HSF.BF.B.3

What are the zeros for the given polynomial? (Check all that apply)

• -4

• -3

• -2

• -1

• 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which interval(s) below represent where the given function is positive? (Select all that apply)

• $\left(-4,\ -1\right)$
  

• $\left(-\infty,\ -4\right)$

• $\left(-1,\ 2\right)$

• $\left(2,\ \infty\right)$
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

For the given polynomial graph, where does the relative maximum occur, and what is the relative maximum value?

• Occurs at x = 1, Maximum value is 8

• Occurs at x = 2, Maximum value is 1

• Occurs at x = 1, Maximum value is 2

• Occurs at x = -1, Maximum value is -2

For the given polynomial graph, on which x-interval is the function increasing?

•  $\left(2,\ \infty\right)$  

•  $\left(-2,\ \infty\right)$  

•  $\left(-1,\ 1\right)$  

• 
  

   $\left(-2,\ 2\right)$  
  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

On which of the following intervals is the given function BOTH positive and increasing?

• $\left(0,\ 2\right)$

• $\left(-\infty,\ -4\right)$

• $\left(-3,\ 0\right)$

• 
  

  $\left(3,\ \infty\right)$