Question

The following table shows several ordered pairs of a function, m(x). x m(x) -1 -1.5 1 1.5 2 3 4 6 Graph m(x) on a coordinate plane to determine whether or not the function represents a direct variation. In complete sentences, describe your conclusion and reasoning. Include your graph in your answer.

Answer 1

Answer:

The Function represents a direct variation.

Step-by-step explanation:

The graph formed by the the coordinates (-1.-1.5), (1,1.5), (2,3) and (4,6) is shown at the bottom. Consult it for better understanding. As we can see in the graph that the line joining all the points is a straight line with positive slope, it means that if the value of x is increase, the value of m(x) also increases, and the rate of change is linear. Thus, the function represent a direct variation.