The applet below contains linear, quadratic and exponential functions.[br]Each function is color-coded so its graph is the same color as its description & equation listed on the right. [br][br][i]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. [/i]
The y-intercept for f(x) is _____________.[br]The y-intercept for g(x) is _____________.[br]The y-intercept for h(x) is _____________.
The y-intercept for f(x) is __[u]0[/u]___.[br]The y-intercept for g(x) is __[u]0_[/u]__.[br]The y-intercept for h(x) is __[u]1[/u]___.
The linear function _______________________________________________________________________________________.[br]The quadratic function ___________________________________________________________________________________.[br]The exponential function _________________________________________________________________________________.
The linear function is a straight line and goes up to the right. It has a constant difference.[br]The quadratic function goes down on the left and then up on the right. It is symmetrical with the x-axis.[br]The exponential function goes up to the right. It has a constant ratio so it increases rapidly.