Exponential Functions

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Presentation transcript:

Exponential Functions Algebra I Section 7-5 Exponential Functions

growth functions: increase from left to right integer values for base - decay functions: decrease from left to right fraction values for base

- domain: all real numbers - range: look at picture either all positive numbers or all negative numbers

Graphing Exponential Functions Step 1) find y when x =0 Step 2) determine if function is growth or decay Step 3) sketch

5. DEPRECIATION The function V = 22,000 ● 0 5. DEPRECIATION The function V = 22,000 ● 0.82t models the depreciation of the value of a new car that originally cost $22,000. V represents the value of the car and t represents the time in years from the time the car was purchased. What is the value of the car after one year?

Identify Exponential Behavior - look for regular intervals of the x-values counting by: 1’s, 2’s, 5’s, … - look for common factor (multiply or divide) of the y-values

Determine whether the set of data shown below displays exponential behavior. Write yes or no, and explain why or why not. 6. X 3 6 9 12 15 Y 16 20 24 28 32

Determine whether the set of data shown below displays exponential behavior. Write yes or no, and explain why or why not. 7. X 10 20 30 Y 25 62.5 156.25

Homework Worksheet 7-5 Chapter 7 Test Friday 1/30