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7-1 Exponential & Logarithmic Functions

7-1 Exponential & Logarithmic Functions. Unit Objectives: Solve exponential and logarithmic equations Graph exponential and logarithmic functions Apply exponential functions/equations to real-world problems. Today’s Objective: I can model exponential growth and decay.

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7-1 Exponential & Logarithmic Functions

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  1. 7-1 Exponential & Logarithmic Functions Unit Objectives: Solve exponential and logarithmic equations Graph exponential and logarithmic functions Apply exponential functions/equations to real-world problems. Today’s Objective: I can model exponential growth and decay.

  2. Exponential Function y-intercept: (0, a) • 0.0625 a = starting value • 0.25 b = Constant Multiplier • 0.5 Growth • 1 Decay • 2 • 4 Domain: • All real #s • 8 Range: Graph on calculator and sketch x-axis is an asymptote. a line a graph approaches

  3. Exponential Growth and Decay You invest $1,000 in account for 6 years at 5% annual interest. What is your balance? Amount after t time periods # of time periods Initial Amount Growth factor: r = % growth or decay written as a decimal Growth: Decay:

  4. Exponential Growth and Decay You invest $500 in account for 5 years at 3.5% annual interest. What is your balance? Jackson High school had 2,100 students at the start of this school year and it is predicted to decrease by 1.5% each year. How many students will be at Jackson at the start of the 2020 school year? When will the account be worth $1,000? Use calculator table. About 21 years

  5. Endangered Species If the trend continues and the population of the Iberian Lynx is decreasing exponentially, how many Iberian Lynx will there be in 2014? 7-1 p.439: 10, 14, 18-31

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