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Exponential Growth

Exponential Growth. If we graph data from an exponential “situation” it would look like…. Road Kill. WHAT is it?. Unpaid Debt. What situations would start growing slowly and then really speed up?. Exponential Growth. Mutual funds. Disease. Exponential Growth Equation . Beginning amount.

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Exponential Growth

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  1. Exponential Growth

  2. If we graph data from an exponential “situation” it would look like… Road Kill WHAT is it? Unpaid Debt What situations would start growing slowly and then really speed up? Exponential Growth Mutual funds Disease

  3. Exponential Growth Equation Beginning amount Notice that the exponent is a variable! Growth factor. (Often a % or uses words like doubling, tripling…

  4. The “parent” graph….. x : none y: (0,1) D: (-∞,∞) R: (0,∞)

  5. The “parent” graph….. x : none y: (0,-1) D: (-∞,∞) R: (0,∞)

  6. WIDER The “parent” graph….. x : none y: (0,1/2) D: (-∞,∞) R: (0,∞)

  7. + 3 The “parent” graph….. x : none y: (0,4) D: (-∞,∞) R: (3,∞) Up 3 See what y equals if we let x = -100 The 3 at the end of the equation creates an asymptote. An asymptote is like a boundary that the graph gets infinitely close to but NEVER touches.

  8. + 3 Right 1 The “parent” graph….. x : none y: (0,4) D: (-∞,∞) R: (3,∞) Up 3 What OUT! This family CAN have X-INTERCEPTS.

  9. The “parent” graph….. - 3 Asymptote would be y = - 3.

  10. p. 482 #3-5, 6-26 evens. Finds x,y and domain and range.

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