Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 4)(0,4) and (2, 256)(2,256).

asked Apr 4, 2023 209k views

1 vote

Write an exponential function in the form y=ab^xy=ab

x
that goes through points (0, 4)(0,4) and (2, 256)(2,256).

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Answer:

Explanation:

$y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=(256)/(4) =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x$

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