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Given the function, f(x) = x^2 - 3, calculate the average rate of change of the function from x= 1 to x= 3.
-2
4
8
-12

Respuesta :

The rate of change of function is: 4

Further explanation:

The formula for calculating rate of change of function is:

[tex]Rate\ of\ change = \frac{f(b)-f(a)}{b-a}[/tex]

Here,

a = 1 and b = 3

So,

[tex]f(1) = (1)^2-3\\= 1-3\\=-2\\f(3) = (3)^2-3\\=9-3\\=6[/tex]

Putting the values

[tex]Rate\ of\ change= \frac{f(3)-f(1)}{3-1} \\= \frac{6-(-2)}{2} \\= \frac{6+2}{2} \\= \frac{8}{2}=4[/tex]

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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