[size=100]Use this interactive figure to compare the growth of three functions: [br][color=#9900ff][b][i]a power function like f[/i]([i]x[/i])[i] = x[/i][sup]2[/sup][/b][/color][b],[/b][color=#ff0000] [br][b][i]an exponential function like g[/i]([i]x[/i])[i] = 2[sup]x[/sup][/i][/b][/color][b], [br][/b][color=#38761d][b][i]and an exponential function like h[/i]([i]x[/i])[i] = e[/i][sup][i]kx[/i][/sup][/b][/color][b].[br][/b][/size]Power, base, and value of k can be changed using the sliders.
[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]