Question

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

$f(1) = (1)^2 + 4(1) - 5 = 1+4-5 = 5-5=0$
$f(3) =$
$\frac{f(b)-f(a)}{b-a}$ $a,b$
multiple-choice question
what is f(3)?
$f(3) = 13$
$f(3) = 16$
$f(3) = 10$
$f(3) = 0$

Explanation:

Step1: Substitute x=3 into f(x)

$f(3) = (3)^2 + 4(3) - 5$

Step2: Calculate each term

$f(3) = 9 + 12 - 5$

Step3: Compute final result

$f(3) = 21 - 5 = 16$

Answer:

f(3) = 16