Question

Asked Feb 23, 2019

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Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x^{3}−4x^{2}+5x.

Provide your answer below:

Step 1

The slope of the secant line between *x = −*1 and *x = *2 on the graph of the function *f*(*x*) = *x*^{3 }− 4*x*^{2 }+ 5*x *is calculated as follows.

The slope of the secant line between the points (*x*_{1}, *f*(*x*_{1})) and (*x*_{2}, *f*(*x*_{2})) is same as the average rate of change.

Step 2

Consider the points *x*_{1} = *−*1 and *x*_{2} = 2.

Substitute *x = −*1 in *f*(*x*) = *x*^{3 }− 4*x*^{2 }+ 5*x *to find the value of *f*(*x*_{1}) as.

Step 3

Substitute *x = *2 in *f*(*x*) = *x*3 − 4*x*2 + 5*x *to find the value of *f*(*x*2)...

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