4/15 - eLearning - Graphing Polynomials WS

Problem #3:  $y=-x^3-9x^2-24x-22$  
What is the relative maximum of this graph?

•  $\left(-4,-6\right)$  

•  $\left(-2,-2\right)$  

•  $\left(-5.2,0\right)$  

•  $\left(-\infty,\infty\right)$  

Problem #3:  $y=-x^3-9x^2-24x-22$  
What is the zero(s) of this graph?

•  $\left(-4,0\right)$  

•  $\left(-2,0\right)$  

•  $\left(-5.2,0\right)$  

•  $\left(-\infty,\infty\right)$  

Problem #3:  $y=-x^3-9x^2-24x-22$  
What is the Domain and Range of this graph of this graph?  (Select all that apply)

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

• Range $\left[-2,\infty\right)$  

• Domain $\left(-\infty,0\right]$  

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

Problem #4:  $y=-3x^2-7x+4$  
What is the Domain and Range of this graph of this graph?  (Select all that apply)

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

• Domain $\left[8,\infty\right)$  

• Range $\left(-\infty,8\right]$  

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

Problem #4:  $y=-3x^2-7x+4$  
During which interval is the graph increasing?

•  $\left(-\infty,-1.2\right)$  

•  $\left(1.2,\infty\right)$  

Problem #4:  $y=-3x^2-7x+4$  
How many turning points and zeros are in this graph? (Select all that apply)

• 1

• 2

• 3

• 4

Problem #5:  $y=-x^3+3x^2-5$  
During which intervals is the graph decreasing?

•  $\left(0,2\right)$  

•  $\left(-\infty,0\right)$  

•  $\left(2,\infty\right)$  

•  $\left(-\infty,\infty\right)$  

Problem #5:  $y=-x^3+3x^2-5$  
Which of the following points is the relative max?

•  $\left(2,-1\right)$  

•  $\left(0,-5\right)$  

•  $\left(-1.1,0\right)$  

•  $\left(0,2\right)$  

Problem #5:  $y=-x^3+3x^2-5$  
Which of the following points is the relative minimum?

•  $\left(2,-1\right)$  

•  $\left(0,-5\right)$  

•  $\left(-1.1,0\right)$  

•  $\left(0,2\right)$  

Problem #6:  $f\left(x\right)=2x^2-8x+4$  
What is the range of the graph?

•  $\left[2,\infty\right)$  

•  $\left(2,-4\right)$  

•  $\left[-4,\infty\right)$  

•  $\left(-\infty,2\right)$