Exponential Functions Section 3.1. Objectives Evaluate an exponential function at a given point. Determine the equation of an exponential function given.

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Presentation transcript:

Exponential Functions Section 3.1

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.

Vocabulary exponential function base of an exponential function natural exponential function

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

Find each of the following for the function f :

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?

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

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?

Finance Formula discrete compound interest continuous compound interest