Question

find the average rate of change of the function $f(x)=\sqrt{x}+1$ on the interval $4 \leq x \leq 9$. recall that the coordinates for the start of the interval are $(4,3)$. what are the coordinates for the end of the interval? $(9,4)$ $(9,3)$ $(9,82)$

Explanation:

Step1: Substitute \(x = 9\) into the function \(f(x)=\sqrt{x}+1\)

When \(x = 9\), \(f(9)=\sqrt{9}+1\)

Step2: Calculate the value of \(f(9)\)

Since \(\sqrt{9}=3\), then \(f(9)=3 + 1=4\)

Answer:

\((9,4)\)