Let k(x) = -3.7e^0.8x + 8.2

Question

Find the asymptote, y-intercept, k(-2), and k(6.25)

1. Asymptote =
2. Y - intercept =
3. k(-2) = (leave answer in terms of e)
4. k(6.25) = (leave answer in terms of e)

Answer 1

since e^x -> 0 for large negative x, the asymptote lies at k=8.2

The k-intercept, where x=0 is very easy, since e^0 = 1.

I'll do #3; maybe you can do #4 in like wise:
k(-2) = -3.7e^(0.8*2) + 8.2 = -3.7e^1.6 + 8.2

Answer 2

Would the y-intercept in this case be 1?