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

• Nov 8th 2006, 04:25 PM
danielle_54321
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?

• Nov 8th 2006, 05:19 PM
ThePerfectHacker
What you said about y-intercepts and horizontal asymptotes is correct. Look.
• Nov 8th 2006, 06:03 PM
Soroban
Hello, Danielle!

Quote:

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