Question

Decide whether each function is linear or nonlinear from its graph

Answer 1

The one on the left is linear bc it’s a straight line and the one on the right is nonlinear

Answer 2

Graph A represents a linear function, while graph B represents a nonlinear function

The graph of a linear function is a straight line, while the graph of a nonlinear function is not a straight line. To determine whether a function is linear or nonlinear from its graph, we need to examine the pattern of the points.

Let's analyze the given graphs A and B:

Graph A: The points on this graph are (-10,-5), (-5,-3), (0,0), (5,3), and (10,5).

If we connect these points on a graph, we see that they form a straight line. Since the graph is a straight line, the function represented by graph A is linear.

Graph B: The points on this graph are (3,10), (3,6), (0,-2), (1,0), and (3,10).

If we connect these points on a graph, we observe that they do not form a straight line. There is no consistent pattern or direction to the points. Therefore, the function represented by graph B is nonlinear.