Question 983630
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*[tex \Large g] represents a function.  *[tex \Large g(x)] means "the value of the function *[tex \Large g] when the value of the independent variable is *[tex \Large x]".  When you want to graph a function, such as this particular function, *[tex \Large g], on an *[tex \Large xy] plane, then it is correct to say: *[tex \Large y\ =\ g(x)].


For this problem, just graph *[tex \Large y\ =\ -2x^{-5}].  You should get something that looks like:


*[illustration g(x)crop.jpg]


It might help when you are graphing this to recall that *[tex \Large x^{-a}\ =\ \frac{1}{x^a}], so you are actually graphing *[tex \Large g(x)\ =\ \frac{-2}{x^5}] and this is why your graph is discontinuous at *[tex \Large x\ =\ 0]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \