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  • 02-11-2021
  • Mathematics
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what’s the equation that relates x and y in each ordered pair of
exponential function.

whats the equation that relates x and y in each ordered pair of exponential function class=

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tcs1299821
tcs1299821 tcs1299821
  • 02-11-2021

Answer:

the ordered pairs are (-1,3/4), (0,3), (1,12), and (2,48)

an exponential function looks like this:

y=ab^x

substitute the x and y values

3/4=ab^(-1)

3/4=a/b

3=ab^0

3=a*1

3=a, so b=4

y=ab^x

y=3(4^x) is the equation that you want

if x=-1, then y=3/4

if x=0, then y=3

if x=1, then y=12

if x=2, then y=3*4^2=3*16=48

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