## Calculus 10th Edition

$y\text{ is an increasing function.}$
The graph of $\frac{1}{2}e^x$ is just like the graph of $e^x$ squished on the vertical axis. At large negative values of x, the output (y-value) is very close to zero while the function grows without bounds as x assumes arbitrarily large values. The y-intercept is $f(0) = \frac{1}{2}$