Question

What is the average rate of change of the function f(x)=20 ( 1 4 ) x f(x)=20(14)x from x = 1 to x = 2?

Answer 1

Answer:

-3.75

Step-by-step explanation:

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Answer 2

Answer: The average rate of change is 3640.

Explanation:

The given function is,

$f(x)=20(14)^x$

The value of f(x) at x=1.

$f(1)=20(14)^(1)$

$f(1)=20\times 14$

$f(1)=280$

The value of f(x) at x=2.

$f(2)=20(14)^(2)$

$f(2)=20\times 196$

$f(2)=3920$

The average rate of change of a function from x₁ to x₂ is,

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

$\text{Rate of change}=\frac{f(2)-f(1)}{2-1}$

$\text{Rate of change}=\frac{3920-280}{1}$

$\text{Rate of change}=3640$

Therefore the average rate of change is 3640.