Find a formula for the exponential function passing through the points (-2, 1) and (3, 32).

adarascarlet80 2022-10-08 Answered
Find a formula for the exponential function passing through the points (-2, 1) and (3, 32).
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Answers (1)

domino671v
Answered 2022-10-09 Author has 8 answers
Let the exponential function be
y = a b x
At ( 2 , 1 ) ,   a b 2 = 1
At ( 3 , 32 ) ,   a b 3 = 32
Now,
a b 3 a b 2 = 32 1 b 5 = 32 = 2 5 b = 2 a = 32 b 3 = 32 8 = 4
Hence the exponential function is
y = 4.2 x
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