Question

1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the interval $1, 3LXB0f(3) = 3^2+4(3)-5 = 9 + 12 - 5 = 9+7=16LXB1\frac{f(b)-f(a)}{b-a}$ $a,b$multiple-choice questionwhat is the average rate of change of the function from $x = 1$ and $x = 3$?$m = 8$$m = -8$$m = -\frac{1}{8}$$m = \frac{1}{8}$

Explanation:

Step1: Calculate f(1)

$f(1) = (1)^2 + 4(1) - 5 = 1 + 4 - 5 = 0$

Step2: Calculate f(3)

$f(3) = (3)^2 + 4(3) - 5 = 9 + 12 - 5 = 16$

Step3: Apply average rate formula

$\text{Average rate of change} = \frac{f(3)-f(1)}{3-1} = \frac{16-0}{2} = 8$

Answer:

$m = 8$