find the average rate of change of the function f(x)=√x + 1 on the interval 4 ≤ x ≤ 9. recall that the…

find the average rate of change of the function f(x)=√x + 1 on the interval 4 ≤ x ≤ 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) done

find the average rate of change of the function f(x)=√x + 1 on the interval 4 ≤ x ≤ 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) done

Answer

Explanation:

Step1: Evaluate function at end - point

We have the function $f(x)=\sqrt{x}+1$ and we need to find the value of the function when $x = 9$. Substitute $x = 9$ into $f(x)$: $f(9)=\sqrt{9}+1$.

Step2: Calculate the result

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:

A. $(9,4)$