Question

Given f(x)=5x^{2}−4x+5, find the average rate of change of f(x) from x=−2 to x=t.

Give your answer in terms of t.

Provide your answer below:

Step 1

Formula:

Average rate of change:

For the function *y=f(x)* between *x=a* and *x=b*,

The average rate of change is given by ((change in *y*) – (change in *x*)) = ((*f*(*b*) –*f *(*a*)))/(*b*–*a*).

Step 2

For the given function the average rate of change is calculated as,

Substitute *b* = *t*, *x *= –2 in ((*f*(*b*)...

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