Exponential Function

Question

Find the exponential equation whose graph passes through the points (-1,3/5 )and (2,75 )

y=

Answer 1

y = A(B^x)

Since (-1,3/5) is on the graph, 3/5 = A(B^-1). So, B = 5A/3.

Since (2,75) is also on the graph, we have 75 = A(5A/3)²

675 = 25A³

A³ = 27. So, A = 3 and B = 5

The exponential function is y = 3(5^x).