Question

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

Answer 1

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