Determine the domain and range of an exponential function f(x) = b^x.

• Students will determine the domain and range of an exponential function f(x) = b^x, with b > 0, b ≠ 1.

• Domain
• Range
• Exponential function

This lesson involves students moving a point that changes the value of the exponent x in an exponential function f(x) = b^x. The corresponding point on the graph is shown, as well as the value of f(x). As a result, students will:

• Compare exponential functions of the form f(x) = b^x, where b > 1 or 0 < b < 1.
• Describe the domain and range of exponential functions in the form f(x) = b^x.
• Compare and contrast the domain and range of exponential functions with a rational base and exponential functions with an integral base.