Question

Consider the following function and its graph. \frac{9}{x+5} f(x) = Use the graph to determine the following, as well as you can. Check your conclusions by using the function to determine items (a)-(d) analytically. (a) vertical asymptotes (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) (b) $\lim_{x \to -\infty} f(x)$ (If the limit is infinite, enter '$\infty$' or '$-\infty$', as appropriate. If the limit does not otherwise exist, enter DNE.) (c) $\lim_{x \to \infty} f(x)$ (If the limit is infinite, enter '$\infty$' or '$-\infty$', as appropriate. If the limit does not otherwise exist, enter DNE.) (d) horizontal asymptotes (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)

          Consider the following function and its graph.
\frac{9}{x+5}
f(x) = 
Use the graph to determine the following, as well as you can. Check your conclusions by using the function to determine items (a)-(d) analytically.
(a) vertical asymptotes (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
(b) $\lim_{x \to -\infty} f(x)$ (If the limit is infinite, enter '$\infty$' or '$-\infty$', as appropriate. If the limit does not otherwise exist, enter DNE.)
(c) $\lim_{x \to \infty} f(x)$ (If the limit is infinite, enter '$\infty$' or '$-\infty$', as appropriate. If the limit does not otherwise exist, enter DNE.)
(d) horizontal asymptotes (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)

Consider the following function and its graph.
(9)/(x+5)
f(x) =
Use the graph to determine the following, as well as you can. Check your conclusions by using the function to determine items (a)-(d) analytically.
(a) vertical asymptotes (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)
(b) limx → -∞ f(x) (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)
(c) limx →∞ f(x) (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)
(d) horizontal asymptotes (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.)

Added by Jennifer K.

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