Explore the exponential function

Process ...

Below you will find an interactive graphic of an exponential function f(x) = a^x. The slider will allow you to change the value of a. Work with the interactive and use it to answer the questions below.

Function behaviour

Describe when the function is increasing.

Describe when the function is decreasing

Is the function stationary? Justify your thinking.

Describe the function

Which coordinate point helps you state the function on display? Describe why that is the case?

Which point is common to all the displayed functions? Describe why that must be the case?

Extreme Values

Describe the function behaviour at the extreme values of positive and negative x.