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meerkat18
meerkat18 meerkat18
  • 03-08-2016
  • Mathematics
Answered

Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2.

Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2. class=

Verified Answer :

Panoyin
Panoyin Panoyin
  • 04-08-2016

\(A(x) = \frac{f(x) - f(a)}{x - a}\)
\(A(x) = \frac{f(2) - f(0)}{2 - 0}\)
\(A(x) = \frac{6 - (-2)}{2}\)
\(A(x) = \frac{6 + 2}{2}\)
\(A(x) = \frac{8}{2}\)
\(A(x) = 4\)

Answer Link
calculista
calculista calculista
  • 14-11-2018

we know that

Using the graph

For \(x=0\) -----> \(f(0)=-2\)

For \(x=2\) -----> \(f(2)=6\)

the average rate of change is equal to

\(\frac{f(2)-f(0)}{2-0} =\frac{6-(-2)}{2}=4\)

therefore

the answer is

the average rate of change is \(4\)

Answer Link

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