1. Exponential Functions Section 3.1

2. Objectives Evaluate an exponential function at a given point. Determine the equation of an exponential function given a point or two points. Graph an exponential function. State the domain and range of an exponential function. Determine the transformation of a transformed exponential function given an equation. Solve a word problem involving an exponential function.

3. Vocabulary exponential function base of an exponential function natural exponential function

4. Formula basic exponential function where a > 0 and a ≠ 1

5. Find each of the following for the function f :

6. Graph the function What it the domain of the function? What is the range of the function? What is(are) the x-intercepts? What is(are) the y-intercepts?

7. Find the exponential function whose graph goes through the points (0, 5) and (3, 40).

8. Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for the third day, and so on. If the daily wage keeps doubling, what will your income be on the 30th day?

9. Finance Formula discrete compound interest continuous compound interest