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