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fredd [130]
3 years ago
13

.Calculate the average rate of change of f(x) = 3x + 4 on the interval [2, 6]. Select any oth

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

Average rate of change= 3

Step-by-step explanation:

Recall the definition of average rate of change of a function f(x) in an interval [a,b]:

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

In your case:

f(x) = 3x+4, and the interval  [a,b] i  [2,6], therefore:

Average rate of change = \frac{f(6)-f(2)}{6-2}=\frac{f(6)-f(2)}{4}

Now we evaluate the function at the two requested points:

f(x)=3x+4\\f(6)=3(6)+4=18+4=22\\f(2)=3(2)+4=6+4=10, then f(6)-f(2)=22-10=12

So finally the Average rate of change is: \frac{f(6)-f(2)}{6-2}=\frac{12}{4} =3

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