Answer: Yes, the image represents a linear function.
Explanation:
1. Look for any trends in the table.
- Each value of x increases by 2
- Each y value increases by 3 for every increase of 2 in x.
2. Optional: Calculate the slope
Slope = change in y/change in x
(6-3)/(1-(-1)) = 3/2 = 1/2
- For every increase of x by 1, the y value will increase by 1.5.
Because the x-values and the y-values consistently share this change throughout the table, the table represents a linear function.