What is an exponential function when it's graph doesn't cross the y axis

Question

What is an exponential function when it's graph doesn't cross the y axis

Answer 1

f(x) = k / x, k < x

Answer 2

take f(x) = e^x and reflect it across the line y=x

that gives f(x)= lnx which never intersects the y axis

e^x is an exponential function

the inverse of y=e^x is x=e^y

x=e^y is an exponential function which never crosses the y axis

the y intercept would be where x=0, but 0=e^y has no solution

take natural logs of both sides

x = e^y

lnx = y

y=lnx

f(x)=lnx never crosses the y axis