Answer:
Yes, this is an example of a linear function.
A linear function is one that can be modeled by an equation in the form y = mx + b. The 'm' term represents the slope, whilst the 'b' coins the y-intercept.
The given data points consist of
- x:-5,-1,3,7,11
- y: -4,-2,0,2,4
We can see that as x increases by 2, y increases by 2. This indicates a constant rate of change, or slope, of m=1.
Also, when x=0, y=0. So the y-intercept b=0.
Therefore, the linear equation that fits this data is:
Since the relationship between x and y is linear, this is an example of a linear function. A non-linear function would not exhibit this constant rate of change between variable points.
Hence, the answer is Yes.