Question
Find the average rate of change of the function $f$ on the interval $[a, b]$.$$f(x)=\sqrt{x+1},[a, b]=[1,9]$$
Step 1
So we plug $a=1$ and $b=9$ into the function $f(x)=\sqrt{x+1}$. For $a=1$, we get $f(a)=f(1)=\sqrt{1+1}=\sqrt{2}$. For $b=9$, we get $f(b)=f(9)=\sqrt{9+1}=\sqrt{10}$. Show more…
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