Sagot :
The average rate of change within the function f(x)=[tex]x^{2} -x-1[/tex]is -2.
Given The function f(x)=[tex]x^{2} -x-1[/tex]
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)=[tex]x^{2} -x-1[/tex]
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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