Answer:
The average rate of change over the interval [-1,4] is 7/5 or 1.4
Step-by-step explanation:
We need to find average rate of change over the interval [-1,4]
The formula used to calculate average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
We have a= -1 and b = 4
Now finding f(a) and f(b)
Looking at the graph if we have x=-1 i.e f(-1) we get y = -7
So, f(-1) = -7
Now, Looking at the graph if we have x=4 i.e f(4) we get y = 0
So, f(4) = 0
Now, putting values and finding average rate of change
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{0-(-7)}{4-(-1)}\\Average \ rate \ of \ change=\frac{0+7}{4+1}\\ Average \ rate \ of \ change=\frac{7}{5}\\Average \ rate \ of \ change=1.4[/tex]
So, The average rate of change over the interval [-1,4] is 7/5 or 1.4
