Full Polynomial Graph Analysis

How many extrema are in this graph?

• 1

• 2

• 3

• 4

Where are the local minimums located?

• (3.5, 2.5)

• (-0.5, -7.5) and (3.5, 2.5)

• (-0.5, -7.5)

• (5, 6) and (2, 4.5)

• None of the above

Where are the local maximums located?

• (-0.5, -7.5) and (3.5, 2.5)

• (5, 6)

• (2, 4.5)

• (2, 4.5) and (5, 6)

• None of the Above

What is the end behavior of this graph?

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

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

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

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

What is the y-intercept of this graph?

• (0, -2.5)

• (0, -6.5)

• (0, 1)

• (0, 7)

What are the zeros of this graph?

• (-2.5, 0), (-6.5, 0), (1, 0), (7, 0)

• (1, 0), (7, 0)

• (-2.5, 0), (1, 0), (7, 0)

• (-6.5, 0)

Tags

CCSS.HSF-IF.C.7C

How many turning points does this graph have?

• 0

• 1

• 2

• 3

• 4

Are there any multiplicity of zeros in this graph?

• Yes

• No

What are the intervals of increase?

• $\left[-0.5,\ 2\right]\ \cup\left[3.5,\ 5\right]$

• $\left[-0.5,2\right]$

• $\left[3.5,5\right]$

• $\left[-\infty,\ -0.5\right]\cup\left[2,3.5\right]\cup\left[5,\infty\right]$

What are the areas of decrease in this graph?

• $\left(-\infty,\infty\right)$

• $\left[-\infty,-0.5\right]\cup\left[5,\infty\right]$

• $\left[-\infty,\ -0.5\right]\cup\left[2,\ 3.5\right]\cup\left[5,\infty\right]$