Question

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( f(x)=9 e^{-0.5 x^{2}} ). find the domain of ( f(x) ). select the correct choice below and, if necessary, fill in the answer box to complete your choice. ( \bigcirc ) a. the domain is all real ( x ), except ( x= ) (type an integer or a decimal. use a comma to separate answers as needed.) ( \bigcirc ) b. the domain is all real ( x ).

Explanation:

Step1: Analyze the function \( f(x) = 9e^{-0.5x^{2}} \)

The function \( y = e^{u} \) where \( u=-0.5x^{2} \). The exponential function \( y = e^{u} \) is defined for all real values of \( u \). The quadratic function \( u=-0.5x^{2} \) is defined for all real values of \( x \).

Answer:

B. The domain is all real \( x \).