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andreadesirepen

what function is represented?

  • one year ago
  • one year ago

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  1. andreadesirepen
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    • one year ago
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  2. andreadesirepen
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    i know it´s exponential

    • one year ago
  3. ZeHanz
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    It seems like the line y = 1 is a horizontal asymptote. Apart from that, it looks like an exponential function, so my first guess would be: f(x)= 1+ a^x. Maybe if you read off a few points on the graph, you could determine a.

    • one year ago
  4. andreadesirepen
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    a=2

    • one year ago
  5. andreadesirepen
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    is it 2^x+2 ?

    • one year ago
  6. ZeHanz
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    OOps, the unit is 2 on the axes...so it is f(x)=2+a^x

    • one year ago
  7. BenjaminEE
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    It looks like a^x, but since the left sides converges towards 2 and not 0 it looks more like: y = 2+c*a^x y(2) seems to be about 6 y(0) seems to be about 2.5 y(0) = 2.5 => 1 + c*a^0 = 1 + c c = 1.5: y(2) = 1 + 1.5*a^2 = 6 1.5*a^2 = 5 a = sqrt( 5/1.5 ) ~ 1.8 all in all, y = 2 + 1.5 * 1.8^x

    • one year ago
  8. ZeHanz
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    Now, let's see if I can read off the number a: if I move it down 2 units, it goes through (0,1). Also it would go through (2, 4), so a²=4/1=4. That means a=2. I think you have found the answer already!

    • one year ago
  9. andreadesirepen
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    thanks!

    • one year ago
  10. ZeHanz
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    @BenjaminEE: seems you made an error reading off the value for y=0... (unit = 2 on the axes)

    • one year ago
  11. ZeHanz
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    yw!

    • one year ago
  12. BenjaminEE
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    @ZeHanz Oh I see. Thanks for correcting me.

    • one year ago
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