Graphing Polynomial Functions - 4/14 eLearning

Check all that apply to the graph pictured.

• even degree

• odd degree

• positive leading coefficient

• negative leading coefficient

Determine the if the function has a relative maximum or minimum and the value.

• relative max, $\left(0.6,-1.04\right)$

• relative min, $\left(0.6,-1.04\right)$

• relative max, $\left(1,0\right)$

• relative min, $\left(1,0\right)$

Determine the domain and range of the function.

• Domain  $\left(-0.6,\infty\right)$  Range  $\left(0.6,\ \infty\right)$  

• Domain  $\left[0.6,\infty\right)$  Range  $\left(-\infty,\infty\right)$  

• Domain  $\left(-\infty,\infty\right)$  Range  $\left[-1.04,\ \infty\right)$  

• Domain  $\left[1,\infty\right)$  Range  $\left[-1.04,\infty\right)$  

Which of the following intervals describes where the graph is increasing?

•  $\left(-1.04,\infty\right)$ 

•  $\left(-\infty,0.6\right)$  

•   $\left(-\infty,\infty\right)$  

•  $\left(0.6,\infty\right)$  

Select all the points that are considered zeros.

•  $\left(0,1\right)$ 

•  $\left(1,0\right)$  

•   $\left(0.6,-1.04\right)$  

•  $\left(0.17,0\right)$  

How many turning points are in the pictured graph?

• 1

• 2

• 3

• 4

Select the end behaviors that apply to the graph.

• $x\ \rightarrow-\infty,\ y\ \rightarrow-\infty$

• $x\ \rightarrow-\infty,\ y\ \rightarrow\infty$

• $x\ \rightarrow\infty,\ y\ \rightarrow-\infty$

• $x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$

Select all the intervals that represent where the graph is decreasing.

•  $\left(-\infty,\ -0.6\right)$ 

•  $\left(-0.6,\ 0.6\right)$ 

•  $\left(0.6,\ \infty\right)$ 

•  $\left(-\infty,\ \infty\right)$ 

What is another name for zeros?

What are the relative maximum and minimum values for the graph? (check all that apply)

• relative max $\left(-0.6,-1.91\right)$ 

• relative min  $\left(-0.6,-1.91\right)$  

• relative max $\left(0.6,\ 3.91\right)$ 

• relative min $\left(0.6,\ 3.91\right)$