[math]f\left(x\right)=a^x[/math][br]where [math]a\in\mathbb{R}^+[/math]

Using the applet above, please identify the y-int of the function, any asymptotes, the domain and range of the function.

Using the applet above, explore the different transformations possible with an exponential function.[br]The function is [math]f\left(x\right)=b\cdot\left(a\right)^{x-c}+d[/math] see if you can identify, what slider values/changes are needed for horizontal translation, vertical translation, reflection through x axis, reflection through y axis, horizontal stretching, vertical stretching. [br]