consider-the-function-fx5exfleftxright5e-x-what-is-the-end-behavior-of-this-func

Question

Consider the transcendental function f(x)=5e−xf\left(x\right)=$$5e^{-x}. $$What is the end behavior of this function as xx approaches ∞\infty and −∞-\infty? Sketch a graph of the function, showing asymptotes if they exist.

Accepted Answer

lim⁡x→∞5e−x=0\$$lim_{x\rightarrow\infty}5e$$^{-x}$$=0 lim⁡x→−∞5e−x=∞\$$lim_{x\rightarrow-\infty}$$5e^{-x}$$=\infty

Answer

lim⁡x→∞5e−x=\$$lim_{x\rightarrow\infty}5e$$^{-x}$$= −2-2lim⁡x→−∞5e−x=\$$lim_{x\rightarrow-\infty}$$5e^{-x}$$= ∞\infty

Answer

lim⁡x→∞5e−x=\$$lim_{x\rightarrow\infty}5e$$^{-x}$$= ∞\infty lim⁡x→−∞5e−x=\$$lim_{x\rightarrow-\infty}$$5e^{-x}= 00 $$

Answer

lim⁡x→∞5e−x=\$$lim_{x\rightarrow\infty}5e$$^{-x}$$= ∞\infty lim⁡x→−∞5e−x=\$$lim_{x\rightarrow-\infty}$$5e^{-x}$$= −2-2

Consider the transcendental function f(x)=5e−xf\(\left\)(x\(\right\))=5e^{-x}. What is the end behavior of this function as xx approaches ∞\(\infty\) and −∞-\(\infty\)? Sketch a graph of the function, showing asymptotes if they exist.

Consider the transcendental function $f (x) = 5 e^{- x}$ . What is the end behavior of this function as $x$ approaches $\infty$ and $- \infty$ ? Sketch a graph of the function, showing asymptotes if they exist.