Sample Problem

Compare the functions f(x) = x and g(x) = 3x. How are these graphs related?


The slope of the graph of g(x) is 3 times the slope of the graph of f(x), and the y-intercept of both graphs is at the origin. This means that all of the points on g(x) will be 3 times the distance from the x-axis compared to the points on the graph of f(x).