# Thread: How to find y-intercept and asymptote of an exponential function

1. ## How to find y-intercept and asymptote of an exponential function

If my exponential function is:

y=5(2/3)^x +1, my graphing calculator shows that its asymptote is y=1 ans its y-intercept is 11.

However, I thought that when you substituted x for 0 (because x=0 at the y-intercept) that you would get the y-intercept from the equation. Well, in doing so, I obtain 6 as my y-intercept.

Anyoe know what's going on?

2. What you said about y-intercepts and horizontal asymptotes is correct. Look.

3. Hello, Danielle!

If my exponential function is: $\displaystyle y\:=\:5\left(\frac{2}{3}\right)^x +1$,
my graphing calculator shows that its y-intercept is $\displaystyle 11.$

Just a guess . . .

I bet you forgot the parentheses around the $\displaystyle \frac{2}{3}$

. . and you entered: .$\displaystyle 5\;\boxed{\times}\;2\;\boxed{\div}\;3\;\boxed{\wed ge}\;0\;\boxed{+}\;1$

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# exponential function domain range x-intercept y-intercept asymptotes

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