Question

Given the function, f(x) = x^2 - 3, calculate the average rate of change of the function from x= 1 to x= 3.

Answer 1

The rate of change of function is: 4

Further explanation:

The formula for calculating rate of change of function is:

$Rate\ of\ change = \frac{f(b)-f(a)}{b-a}$

Here,

a = 1 and b = 3

So,

$f(1) = (1)^2-3\\= 1-3\\=-2\\f(3) = (3)^2-3\\=9-3\\=6$

Putting the values

$Rate\ of\ change= \frac{f(3)-f(1)}{3-1} \\= \frac{6-(-2)}{2} \\= \frac{6+2}{2} \\= \frac{8}{2}=4$

The rate of change of function is: 4

Keywords: Functions, rate of change of function

Learn more about functions at:

• brainly.com/question/4231418
• brainly.com/question/4419221

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