# Comparing Functions

- Author:
- Rose Neal, Tim Brzezinski

- Topic:
- Functions

The applet below contains linear, quadratic and exponential functions.
Each function is color-coded so its graph is the same color as its description & equation listed on the right.

*Of all these listed functions, which one will eventually "beat all the others", so to speak, with respect to increasing at the fastest rate? Explain your reasoning.*## Linear, quadratic and exponential functions

## What are the y-intercepts for each function?

The y-intercept for f(x) is _____________. The y-intercept for g(x) is _____________. The y-intercept for h(x) is _____________.

## What do you notice about the graph of each function?

The linear function _______________________________________________________________________________________. The quadratic function ___________________________________________________________________________________. The exponential function _________________________________________________________________________________.