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What is the average rate of change from x=-2 to x=1 of this function f(x)=x^2+5x-12

Sagot :

We will first find substitute x = -2 into the function and then evaluate

f(-2) = (-2)² + 5(-2) - 12

= 4 - 10 - 12

= -18

Then substitute x = 1 into the function

f(1) = 1² + 5(1) - 12

=1 + 5 - 12

= -6

Then

Use the formula;

[tex]\frac{y_2-y_1}{x_2-x_1}\text{ =}\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{-6+18}{1+3}[/tex]

[tex]=\frac{12}{4}[/tex]

= 3

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