How to graph an exponential function?

To graph an exponential function in the form of ( f(x) = a \cdot b^x ), start by identifying the values of ( a ) and ( b ). The value of ( a ) will determine the vertical stretch or compression of the graph, while the value of ( b ) will determine the horizontal shift and growth/decay of the function.

Next, plot key points by choosing specific values of ( x ) and calculating the corresponding ( y ) values using the function. Connect the points smoothly to form the curve of the exponential graph.

Remember to label the axes and indicate any asymptotes if applicable.