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Galina-37 [17]
3 years ago
8

Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

Function g(x)

Step-by-step explanation:

Given

See attachment for functions

Required

Which has an average rate of 3 over [1,3]

The average rate of change (m) is calculated as:

m = \frac{f(b) - f(a)}{b -a}

Where:

[a,b] = [1,3]

So, we have:

m = \frac{f(3) - f(1)}{3 -1}

m = \frac{f(3) - f(1)}{2}

From the table f(x), we have:

f(3) = 6\\ f(1) = -2

So:

m = \frac{6 - -2}{2}

m = \frac{8}{2}

m =4

From the graph of g(x), we have:

g(3) = 4\\ g(1) = -2

So:

m = \frac{g(3) - g(1)}{2}

m = \frac{4 - -2}{2}

m = \frac{6}{2}

m =3

Since only one of the function has an average rate of change of 3 over the given interval,

Then g(x) answers the question

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