MAT 125 – Applied Calculus 5.1 – Exponential Functions.

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Presentation transcript:

MAT 125 – Applied Calculus 5.1 – Exponential Functions

Today’s Class  We will be learning the following concepts today:  Exponential Functions & Their Graphs  Logarithmic Functions & Their Graphs  Properties Relating Exponential and Logarithmic Functions  Compound Interest  Effective Rate of Interest  Continuous Compounding of Interest Dr. Erickson 5.1 – Exponential Functions 2

Introduction  Exponential functions play an important role in many real-world applications.  What is an exponential function? Basic idea: a function with a variable as the exponent. Dr. Erickson 5.1 – Exponential Functions 3

4 Definition Dr. Erickson

Laws of Exponents Dr. Erickson 5.1 – Exponential Functions 5

Simplify the expression – Exponential Functions 6 Example 1 Dr. Erickson

Example 2  Solve the equation for x. Dr. Erickson 5.1 – Exponential Functions 7

Example 3 Dr. Erickson 5.1 – Exponential Functions 8

Let’s continue with 5.2 & 5.3 Dr. Erickson 5.1 – Exponential Functions 9