I have a math homework that I have no clue how to complete. It’s asking me to graph a line when it gives me the limit and I need to find the equation because I need to program the graph.
F(x) is continuous everywhere Lim x-> inf f(x) =5 Lim x-> -inf f(x) = infinity
You can take $$f(x)=5+e^{-x}$$
$$\lim_{x\to +\infty}=5+0=5$$ $$\lim_{x\to -\infty}=5+\infty=+\infty$$
$f$ is continuous at $\Bbb R$.