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Ne4ueva [31]
3 years ago
7

Find the average rate of change for the given function from x = −1 to x = 2.

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0

Answer:

Average rate of change: -3

Step-by-step explanation:

We are asked to find average rate of change for our given function f(x)=-3x+2.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values in above formula, we will get:

\text{Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}

\text{Average rate of change}=\frac{(-3(2)+2)-(-3(-1)+2)}{2-(-1)}

\text{Average rate of change}=\frac{(-6+2)-(3+2)}{2+1}

\text{Average rate of change}=\frac{(-4)-(5)}{3}

\text{Average rate of change}=\frac{-4-5}{3}

\text{Average rate of change}=\frac{-9}{3}

\text{Average rate of change}=-3

Therefore, the average rate of change for our given function from x=-1 to x=2 is -3.

Mashutka [201]3 years ago
3 0

the \: average \: rate \: of \: change =  \frac{f(x2) - f(x1)}{x2 - x1}  \\  \frac{f(2) - f( - 1)}{ 2 -  - 1}  =  \\  \frac{ - 3(2) + 2 - ( - 3( - 1) + 2)}{3} =   \\  \frac{ - 6  + 2 - 3 - 2}{3}  =  \frac{ - 9}{3}  =  - 3
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