Question

Is function A linear or nonlinear
Is function B linear or nonlinear?

Answer 1

Function A: Linear

Function B: Nonlinear

Explanation:

1. When looking at tables, an easy way to tell if it's linear or not is to determine if the slope is the same between different coordinates.

Try (3,5) (6,10)

y2-y1/x2-x1

10-5/6-3

5/3

Now try (6,10) (9,15)

15-10/9-6

5/3

The slopes are the same, so this function is in fact linear.

2. For graphs, linear functions form a straight line. The line in this graph is clearly curved, so it is not linear.