The average rate of change for the function is 2
Step-by-step explanation:
The average rate of change of a function (also equal to the slope of the function) over a certain interval [tex][x_1,x_2][/tex] is given by
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Where f(x) is the value of the function at x.
In this problem, the function is
[tex]f(x)=2x+2[/tex]
And the interval is −1 ≤ x ≤ 1, so we have:
[tex]x_1 = -1\\f(x_1)=f(-1)=2(-1)+2=0[/tex]
And
[tex]x_2=1\\f(x_2)=f(1)=2(1)+2=4[/tex]
Therefore, the average rate of change of the function is
[tex]m=\frac{+4-0}{1-(-1)}=\frac{4}{2}=2[/tex]
Learn more about rate of change:
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