Question

1 point
calculate the average rate of change of the given function over the interval $4, 5$ if $f(x)=x^2 - 3$
$\bigcirc$ 19
$\bigcirc$ 15
$\bigcirc$ 7
$\bigcirc$ 9
$\bigcirc$ 11
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Explanation:

Step1: Define average rate formula

The average rate of change of $f(x)$ over $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$.

Step2: Calculate $f(5)$

$f(5) = 5^2 - 3 = 25 - 3 = 22$

Step3: Calculate $f(4)$

$f(4) = 4^2 - 3 = 16 - 3 = 13$

Step4: Compute average rate

$\frac{f(5)-f(4)}{5-4} = \frac{22-13}{1} = 9$

Answer:

9