Part 1
For this question we need to remember that the range is defined as:
[tex]\text{Range}=\text{Max}-Mi[/tex]And if we look at the function we see that Min =0 and Max= 5 so then we have:
[tex]\text{Range}=5-0=5[/tex]And the range represent the lenght of the codomain of a function
Part 2
The domain for this case is given by:
[tex]\text{Domain}=\left\lbrack -4,4\rbrack\right?[/tex]And it represent all te possible values of x that the function can assume
Part 3
For this case we identify two intervals where the height is increasing:
[-4,-2] and [0,4]
But the longest interval is :[0,4]
Part 4
The x intercept represent the values when the function satisfy that y=0 and we have:
x intercepts: x=-4, x=0
Part 5
The average rate of change between [-4,4] is given by:
[tex]m=\frac{3-0}{4-(-4)}=\frac{3}{8}[/tex]And then the answer for this case would be 3/8
