In the previous post, we have learned the effect of the sign of a in the linear function . In this post, we learn the effect of increasing and decreasing the value of a. Since we have already learned that if , the graph is a horizontal line, we will discuss 2 cases in this post: , and .
Case 1: a > 0
Let us consider several cases of the graph of where . Let the equation of the functions be , , and making , , and , respectively. As we can see from the table, for the same , the larger the slope, the larger its corresponding y-value. This means that for , the point is above and that the point is above . We can say that as increases, is increasing faster than , and is increasing faster than the increase in . » Read more