Exponential functions

This figure displays the graph of the exponential function [math]f\left(x\right)=c\cdot a^{kx}+d[/math]. You can adjust parameters [math]c[/math], [math]a[/math], [math]k[/math], and [math]d[/math], and see how changing parameters changes the graph of the function. [br][br]See if you can determine the effect that each parameter has on the shape of the graph. Can you determine [i]why [/i]each effect occurs? In particular, try to reason out why changing [math]a[/math] and [math]k[/math] appear to have similar effects.[br]
[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]

Information: Exponential functions