Download Graph Exponential Functions

[Algebra 1 (X)]
10.5: Exponential Functions HCPS III: 
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Standard 9: Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships. Benchmark MA.AI.9.4: Compare and contrast the properties of linear functions and exponential functions. Goals: 
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Graph exponential functions. Identify data that displays exponential behavior. Graph Exponential Functions An Exponential Function is an equation/function where the variable is the exponent. A simple exponential function can be written in the form, *where 0 and 1. Example: 2 can represent bacterial growth Bacteria Total # of Bacterial Cells
Example 1: Graph Exponential Function with Graph the exponential function. State the y‐intercept. 3
a.) 1 x y 4 b.) x y Example 2: Graph Exponential Function with Graph the exponential function. State the y‐intercept. 2
a.) x y b.) x y Let’s Compare and Contrast the Graphs of Exponential Functions Exponential Growth Exponential Decay Identify Exponential Behavior A set of data that displays exponential behavior has rapid change and slow change. The change is not consistent. There are two methods to determine whether a set of data displays exponential behavior. One method is to look for a pattern in a table of values. The other method is to graph the set of data and see if the graph is exponential. Example 3: Identify Exponential Behavior Determine whether the set of data displays exponential behavior. a.) x 0 2 4 6 8 10 y 64 32 16 8 4 Method 1: Look for a Pattern
b.)
2 Method 2: Graph the Data
x 0 10 20 30 40 50 y 15 21 27 33 39 45 Method 1: Look for a Pattern
Method 2: Graph the Data