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.