Dilate an exponential function and observe its effects on the equation of the parent function.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
A parent exponential function is [math]f\left(x\right)=a\cdot b^x[/math].[br]Which variable represents the base?
Describe the graph of an exponential function when the base is between 0 and 1.
Describe the graph of an exponential function when the base is greater than 1.
Which variable represents stretch?
Describe the graph of an exponential function when the stretch is negative.