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Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum:

Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: . WARM UP. Exponential Growth and Decay. Notes. Example 1. Do you think this problem represents growth or decay?. Let’s look at the graph…. 0 8000 1 6696 2 5604.55 3 4691.01

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Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum:

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  1. Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: WARM UP

  2. Exponential Growth and Decay Notes

  3. Example 1 Do you think this problem represents growth or decay?

  4. Let’s look at the graph… 0 8000 1 6696 2 5604.55 3 4691.01 4 3926.38 5 3286.38 6 2750.7 7 2302.33 8 1927.05 9 1612.94 10 1350.03 11 1129.98 12 945.792 13 791.628 14 662.592 15 554.59

  5. What can you say about the Graph? • Domain: • Range: • Asymptote: • Increasing: • never • Decreasing: • Always • y-intercept • (0, 8000)

  6. Example 2 Let’s make a table and graph…

  7. Let’s make a table and graph… 0 8000 1 11313.7 2 16000 3 22627.4 4 32000 5 45254.8 6 64000 7 90509.7 8 128000 9 181019 10 256000 11 362039 12 512000 13 724077

  8. What can you say about the Graph? • Domain: • Range: • Asymptote: • Increasing: • always • Decreasing: • never • y-intercept • (0, 8000)

  9. Which of the following organisms' populations is not likely to exhibit exponential growth? bacteria gorillas cockroaches rats? WHY?

  10. Gorillas are the largest of the living primates. They are ground-dwelling and predominantly herbivorous. Gestation is 8½ months. There are typically 3 to 4 years between births. Therefore they would not experience exponential growth such as bacteria, cockroaches or rats

  11. Homework: ½ sheet

  12. Your Turn  For each problem include the following: Domain ; Range; Asymptote; y-intercept ; Increasing / Decreasing

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