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Crazy boy [7]
3 years ago
12

Find formula for exponential function passing through points (-3,3/8) and (2/12)

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

y = 3 · 2ˣ

Step-by-step explanation:

Exponential function is:

y = abˣ

Plug in the points:

⅜ = ab⁻³

12 = ab²

Solve the system of equations.  Start by dividing the second equation by the first:

12 / ⅜ = (ab²) / (ab⁻³)

32 = b⁵

b = 2

Plug into either equation to find a:

a = 3

Therefore:

y = 3 · 2ˣ

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