Write an exponential function y=ab^x for a graph that includes (-4,72) and (-2,18)

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Mathematics

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8 September, 07:41

Write an exponential function y=ab^x for a graph that includes (-4,72) and (-2,18)

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Wayne Pineda · Answer 1

Hello,

y=a*b^x

(-4,72) = = > 72=a*b^ (-4) (1)

(-2,18) = = > 18=a*b^ (-2) (2)

(1) / (2) = = >4=b^ (-2) = = >b=1/2 or b = (-1/2) to exclude since b>0

b=0.5 and a*0.5²=18==>a=9/2

Y=9/2*0.5^x