What is the average rate of change of f(x), represented by the graph, over the interval [0, 2]?

Mathematics

2 answers:

max2010maxim [7]3 years ago

8 0

Answer:

a it is 2

Step-by-step explanation:

zloy xaker [14]3 years ago

4 0

Answer:

The average rate of change of f(x) is 2

A is correct

Step-by-step explanation:

Given: The graph of f(x).

To find: Average rate of change of f(x) in interval [0,2]

Formula:

$\text{Average rate }=\dfrac{f(b)-f(a)}{b-a}$

Using graph, we find f(0) and f(2)

a = 0 , b= 2

f(0) = 4

f(2) = 8

$\text{Average rate } = \dfrac{f(2)-f(0)}{2-0}$

$\text{Average rate } = \dfrac{8-4}{2-0}$

$= 2$

Hence, The average rate of change of f(x) is 2

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