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anonymous

  • one year ago

I think it is C, am i right? Which of the following options results in a graph that shows exponential growth? f(x) = 0.4(0.2)x f(x) = 4(0.98)x f(x) = 0.7(5)x f(x) = 5(4)−x

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  1. jim_thompson5910
    • one year ago
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    why C?

  2. anonymous
    • one year ago
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    i really dont know, i think it is also B as well

  3. jim_thompson5910
    • one year ago
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    Rule: If you have \[\Large f(x) = a*(b)^x\] f(x) will have exponential growth if `b > 1` or f(x) will have exponential decay if `0 < b < 1`

  4. anonymous
    • one year ago
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    so it is neither C or B..

  5. jim_thompson5910
    • one year ago
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    Flip things around If you have \[\Large f(x) = a*(b)^{-x}\] f(x) will have exponential decay if `b > 1` or f(x) will have exponential growth if `0 < b < 1`

  6. jim_thompson5910
    • one year ago
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    which function has `b > 1` ? and has `x` (not `-x`) in the exponent?

  7. anonymous
    • one year ago
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    it has to be A then

  8. jim_thompson5910
    • one year ago
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    in choice A, what are the values of a and b?

  9. anonymous
    • one year ago
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    8

  10. jim_thompson5910
    • one year ago
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    for `f(x) = 0.4(0.2)^x`, the value of a and b are a = 0.4 b = 0.2 agreed?

  11. anonymous
    • one year ago
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    oh yes, im sorry i miss read what you said.

  12. jim_thompson5910
    • one year ago
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    so b = 0.2 is b > 1 true?

  13. anonymous
    • one year ago
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    i think it is

  14. jim_thompson5910
    • one year ago
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    0.2 > 1 is true?

  15. jim_thompson5910
    • one year ago
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    here is a graph to interactively play with https://www.desmos.com/calculator/fhg9iipwt0

  16. jim_thompson5910
    • one year ago
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    adjust the sliders for 'a' and 'b'. Make sure 'a' stays as a positive number

  17. anonymous
    • one year ago
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    a stayed as a positive number @jim_thompson5910

  18. jim_thompson5910
    • one year ago
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    yeah make a = 2 or something then adjust the slider for b

  19. anonymous
    • one year ago
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    they stayed positive @jim_thompson5910

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