Question

1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the interval 1, 3.

$f(1) = (1)^2 + 4(1) - 5 = 1+4-5=5-5=0$
$f(3)=3^2 + 4(3) - 5 = 9+12-5=9+7=16$
$\frac{f(b)-f(a)}{b-a}$ $a,b$
multiple-choice question
which of the following are the pairs of points from evaluating the function? select two answers.
(1, 0)
(3, 16)
(16, 3)

Explanation:

To find the points, we evaluate $f(x)$ at $x=1$ and $x=3$:

• When $x=1$, $f(1)=(1)^2+4(1)-5=0$, so the point is $(1, 0)$.
• When $x=3$, $f(3)=(3)^2+4(3)-5=16$, so the point is $(3, 16)$.

These are the two valid pairs from evaluating the function.

Answer:

(1, 0)
(3, 16)