#5 AAE Characteristics of Polynomial Functions

What is the maximum number of turning points for the graph of this polynomial function?

f(x) = 2x³ - 3x² + 4x -10

• 3

• 2

• 1

• 0

What is the maximum number of zeros the graph of the given polynomial function have?

f(x) = 2x³ - 3x² + 4x -10

Select all that apply.

• 4

• 3

• 2

• 1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

The polynomial function f(x) = -3x⁴ + x³ - 2x² + x - 1

will cross the y-axis at which point?

• (-1, 0)

• (0, -1)

• (-3, 0)

• (0, -3)

Which of the following terms DOES NOT indicate where the graph of a polynomial function will cross the x-axis?

• y-intercept

• Zero

• Root

• Solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

The end behavior for the polynomial function graphed is______________________

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=+\infty;\ \lim_{x\rightarrow+\infty}f\left(x\right)=+\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=+\infty;\ \lim_{x\rightarrow+\infty}f\left(x\right)=-\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty;\ \lim_{x\rightarrow+\infty}f\left(x\right)=+\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty;\ \lim_{x\rightarrow+\infty}f\left(x\right)=-\infty$  

Tags

CCSS.HSA.REI.D.10

The Graph of the function shown is a polynomial of _______________degree with a _____________leading coefficient

• 2nd degree with a negative leading coefficient.

• 2nd degree with a positive leading coefficient.

• 4th degree with a negative leading coefficient.

• 4th degree with a positive leading coefficient.

Tags

CCSS.HSA.REI.D.10

What would be the minimum degree of the polynomial based on the graph shown and why?

• 4th degree polynomial determined by the graphs end behavior.

• 4th degree polynomial because the graph has 4 hills and valleys.

• 5th degree polynomial because the graph crosses the x-axis 5 times.

• 5th degree polynomial determined by the graphs end behavior.

Tags

CCSS.HSA.APR.B.3

Select 2 of the 4 graphs below that are based on an even degree polynomial?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

Which polynomial listed could be represented by the given graph?

• f(x) = 2x³

• f(x) = -2x³ + 7x³ + 3x² -5x + 8

• f(x) = -2x⁴

• f(x) = 2x⁴ - 3x³ + 5x² - 3x + 4

Tags

CCSS.HSA.APR.B.3

Which is the constant term in the polynomial function?

2x³ - 8x² + 3x - 7

• 2

• -8

• 3

• -7