dawwstickler dawwstickler
  • 22-06-2017
  • Mathematics
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Which exponential function goes through the points (1, 8) and (4, 64)?

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irspow
irspow irspow
  • 22-06-2017
An exponential function can be expressed as:

y=ab^x  we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)
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