Question

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.

Answer 1

My answer to the problem is as follows:

average rate of change = (f(3) - f(1))/(3-1) 

graph 2^x + 1 

(1) graph 2^x 

(2) move the graph up by 1

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer 2

Answer:

The average rate of change is 2.

Step-by-step explanation:

If we have a function f(x),

Then the average rate of change in the function from x = a to x = b is,

$\frac{f(b)-f(a)}{b-a}$

Here, the given function is,

f(x) = 2x + 1 -----(1)

Thus, the average rate of change between x = 0 and x = 3 is,

$\frac{f(3)-f(0)}{3-0}$

From equation (1),

$=\frac{(2\times 3+1)-(2\times 0+1)}{3}$

$=\frac{7-1}{3}$

$=\frac{6}{3}$

$=2$