summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of…

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)=6xe^(-0.5x). find the domain of f(x). select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the domain is all real x, except x = . (type an integer or a decimal. use a comma to separate answers as needed.) b. the domain is all real x.

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)=6xe^(-0.5x). find the domain of f(x). select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the domain is all real x, except x = . (type an integer or a decimal. use a comma to separate answers as needed.) b. the domain is all real x.

Answer

Explanation:

Step1: Analyze the function type

The function $f(x)=6xe^{- 0.5x}$ is a product of a polynomial ($6x$) and an exponential - function ($e^{-0.5x}$).

Step2: Recall domain rules

Polynomial functions are defined for all real numbers, and exponential functions of the form $y = e^{u}$ where $u$ is a real - valued function of $x$ are also defined for all real numbers.

Answer:

B. The domain is all real x.