Exponential Function

Question

Write an equation for a transformed exponential function with y int of 4 and asymptote of 1, b)is this the only possible function with the given properties?

Answer 1

Hi Rahman,

What did you try here?

Suppose your exponential looks like y = a*(b^x) + c, where a, b and c are constants.

Lets choose a specific b, like 2.

y = a*2^x + c

Knowing that the y-int is the output when x = 0 and that the asymptote of an exponential of the above form is y = c (pretend the exponential part is zero...it can't be zero, but that's why you get an asymptote that you approach but never touch). Can you come up with an equation?

To answer the second question, consider the two equations, y = 2^x and y = 2^(-x), what is the y-int and horizontal asymptotes of both of these? Does that help you answer the question?