Question

this is a multi - part item. find the average rate of change of the function $f(x)=sqrt{x}+1$ on the interval $4leq xleq9$. recall that the coordinates for the start of the interval are $(4,3)$. what are the coordinates for the end of the interval? (9,82) (9,4) (9,3)

Explanation:

Step1: Substitute end - value of x into function

We have the function $f(x)=\sqrt{x}+1$ and the end - value of the interval is $x = 9$. Substitute $x = 9$ into $f(x)$.
$f(9)=\sqrt{9}+1$.

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

Since $\sqrt{9}=3$, then $f(9)=3 + 1=4$.
The $x$ - value at the end of the interval is $x = 9$ and the $y$ - value is $y = 4$. So the coordinates are $(9,4)$.

Answer:

B. $(9,4)$