Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y=3 . Investigate whether other exponential functions have the same properties. Use the transformations to explain your observations.

Answer 1

You know that y=e^x goes through (0,1) and has an asymptote at y=0, so,
y = e^x + 3 has its asymptote at y=3.
Further, 5e^x goes through (0,5), so one function would be

5e^x + 3

Now, you can pick any number greater than 1, and the above statements hold true, so

5*2^x, 5*10^x all do the same.

In fact, that also means that

5*12^7x, 5*1.001^100x all do it to.

Since a*b^(kx) = a*e^((k lnb) x)

Answer 2

This is incorrect

Answer 3

its wrong