Question

f(x)=x^2-x-1 , average rate of change of f over interval -2 greater than or equal to x less than or equal to 1

Answer 1

The average rate of change within the function f(x)=$x^{2} -x-1$is -2.

Given The function f(x)=$x^{2} -x-1$

We have to search out the typical rate of change of function within the interval (-2,1).Interval is largely a variety between numbers lying on the quantity line which may be a line on which different numbers are plotted.

We know that average rate of change =f(b)-f(a)/(b-a)

we have to first know the values of function at different values of x.

f(x)=$x^{2} -x-1$

f(1)=1-1-1

=-1

f(-2)=4+2-1

=5

b=-2

a=1

put within the formula:

A=-1-5/1+2

=-6/3

=-2

Hence average rate of change of the function within the interval (-2,1) is -2.

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