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finlep [7]
2 years ago
15

Please help me! And please no scam answers

Mathematics
1 answer:
Yuri [45]2 years ago
6 0

Answer:

Average rate of change: -3

Step-by-step explanation:

<u>Remember:</u>

The average rate of change of a function over an interval [a,b] is \frac{f(b)-f(a)}{b-a}

<u>Given:</u>

[a,b]=[1,7]

f(b)=f(7)

f(a)=f(1)

<u>Calculation:</u>

f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0

f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18

\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3

Therefore, the average rate of change of the function g(x)=-x^2+5x+14 over the interval 1\leq x\leq7 is -3.

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