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

An exponential function passing through the given points is required.

The equation is

The points are and

The exponential equation is of the form

The equations will be

Dividing the equations

Finding

The equation is

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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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