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LiRa [457]
3 years ago
12

The function f(x) has an average rate of change on the interval -2≤x≤3 of 17/5. If f(-2)=9 then which of the following is the va

lue of f(3)?
(1)12.4
(2)17
(3)21.8
(4)26

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

f(3) = 26

Step-by-step explanation:

Average rate of change of a function on an interval is;

f(a) - f(b)/(a-b)

Here, we want to find the value of f(-3)

To find the average rate of change on the given interval;

we have;

f(3) - f(-2)/3-(-2) = 17/5

f(3)-9/5 = 17/5

Since denominator is same, we equate numerator;

f(3)-9 = 17

f(3) = 17 + 9

f(3) = 26

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Here we will use the trial and error method.

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\begin{gathered}\\ \sf\longmapsto 1(1-3)+1-3=0\end{gathered}

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\begin{gathered}\\ \sf\longmapsto -2+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2-2=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -4≠0\end{gathered}

<h2>Now,</h2><h3>x=2</h3>

\begin{gathered}\\ \sf\longmapsto 2(2-3)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 2(-1)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+2-3=0\end{gathered}

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<h2>Again,</h2><h3>x=3</h3>

\begin{gathered}\\ \sf\longmapsto 3(3-3)+3-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3(3-3)=0\end{gathered}

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\begin{gathered}\\ \sf\longmapsto 0=0\end{gathered}

<h3>☣Hence, The value of X as 3 satisfies the equation!</h3>
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Answer:

i will answer -- justv please clarify ur question

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Step-by-step explanation:

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