Question

find the average rate of change of f(x)= x^2-4x from x of one =5 to x of two =9

Answer 1

The rate of change of function is: 10

Further explanation:

The formula for rate of change is:

$Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$f(x) = x^2-4x\\x_1 =5\\x_2=9\\So,\\f(x_1) = f(5) = (5)^2-4(5)\\=25-20\\=5\\f(x_2) = f(9) = (9)^2-4(9)\\=81-36\\=45$

Putting the values in the formula:

$Rate\ of\ change = \frac{f(9)-f(5)}{9-5}\\=\frac{45-5}{9-5}\\=\frac{40}{4}\\=10$

The rate of change of function is: 10

Keywords: Functions, Rate of change of functions

Learn more about functions at:

• brainly.com/question/5461619
• brainly.com/question/5565320

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