Question

What is the rate of change of the function? -2, -1/2,1/2,2?​

Answer 1

Given:

The graph of linear function.

To find:

The rate of change the given linear function.

Solution:

From the given graph it is clear that the line passes through the points (0,1) and (1,-1). So, rate of change is

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-1-1)/(1-0)`

`m=(-2)/(1)`

`m=-2`

Therefore, the rate of change of the given linear function is -2. Hence, the correct option is A.