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

Question

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

$f(1)=(1)^2 + 4(1) - 5 = 1+4$
$\frac{f(b)-f(a)}{b-a}$ $a,b$
multiple-choice question
what would be the value of f(1) in the function?
$f(1) = -1$
$f(1) = 1$
$f(1) = 0$
$f(1) = 3$

Explanation:

Step1: Substitute $x=1$ into $f(x)$

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

Step2: Calculate each term

$f(1) = 1 + 4 - 5$

Step3: Simplify the expression

$f(1) = 5 - 5 = 0$

Answer:

f(1) = 0