This series of exercises is about exponential functions and their graphs. We discuss the various aspects: what is an exponential function, how does the graph looks like and how can you make a sketch of the graph without using a graphing calculator. We also make a start with solving exponential equations if you want to calculate the intersection of two exponential functions.

Select a question by clicking on it.

1. Draw the graph of the function:

What is the formula of the asymptote?

2. Draw the graph of the function:

What is the formula of the asymptote?

3. Draw the graph of the function:

Calculate the intersection point with the -axis and the equation of the asymptote.

4. Draw the graph of the function:

What is the formula of the asymptote?

5. Draw the graph of the function:

What is the formula of the asymptote?

6. Draw the graph of the function:

What is the formula of the asymptote?

7. Draw the graph of the function:

What is the formula of the asymptote?

8. Draw the graph of the function:

What is the formula of the asymptote?

9. Draw the graphs of the functions:

Calculate the intersection point of both graphs.

10. For which value(s) of do the graphs of the functions:

have only one point in common.