Question

Determine the function with the larger rate of change.

Option 1: f(x) = 2x+4
Option 2:

Option 2 has the larger rate of change
Option 1 has the larger rate of change
They have the same rate of change

Answer 1

Option 1 has the larger rate of change

Determining the function with the larger rate of change.

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x + 4

Also, we have the function represented by the graph

The rate of change of the function f(x) is 2

For the graph, we have

Rate = Change in y/x

So, we have

Rate = (5 - 4)/(4 - 0)

Evaluate

Rate = 0.25

2 is greater than 0.25

So, the function with the larger rate of change is option 1