Question

Identify the y intercept and asymtote for the exponential function f(x)=3^x+2

Answer 1

y-intercept occurs at x = 0.
y = 1 + 2 = 3

$f(x) = 3^{x} + 2$
$\text{Asymptote: } \lim_{x \to \infty} 3^{x} + 2$
$= 2$

Thus, there is a horizontal asymptote at x = 2.