Find Exponential Function Given Graph

Exponential Functions

Find a possible equation of an exponential functions of the form

f(x) = a 2 (x - b) + c

given its graph which is generated by an applet.

You may want to work through the tutorial on Exponential Functions to explore the properties of the graphs of exponential functions before you start the tutorial on finding functions of exponential functions.

Interactive Tutorial

Click on the button "new graph". The graph generated is that of an exponential function of the form

f(x) = a * 2 (x - b) + c

Coefficient a can take the values 1 or -1 only.
Coefficients b and c take integer values.
Find coefficients a, b and c.
Note that coefficient b is related to any horizontal shift and coefficient c is related to the horizontal asymptote (or vertical shifting or translation) of the graph of f.
Click on "Show Answer" to get the values of a, c and d.

More references and Links to Exponential Functions

Calculate Exponentials and Logarithms to any Base:.
Exponential and Logarithmic Functions.
Graphing Exponential Functions.