In this question , we have to find the rate of change that means we have to find the slope .
And for that we take two points from the graph
The points are (0,1) , (1,-1)
TO find the slope, we have to use the following formula
[tex] m = \frac{ y_{2} - y_{1} } { x_{2} - x_{1} } [/tex]
Substituting the values from the points, we will get
[tex] m = \frac{-1-1}{1-0} = -2 [/tex]
So the rate of change is -2 and the correct option is the first option .
