I have to prepare a graph of the family of functions: f(x) = -x^-n, for n = 1, n = 2, n = 3, for the range -2, 2.
I have produced the graph of the functions, but what is throwing me is that the last part of the question suggests i need to be very careful about where each function exists and whether the functions are positive or negative.
My understanding is that f(x) = -x^-n for n = 1 equals f(x) = - 1/x.
Can someone please tell me if this is correct? Or have I mistakenly made the function negative when it should be positive?
Many Thanks for your help.
I have produced the graph of the functions, but what is throwing me is that the last part of the question suggests i need to be very careful about where each function exists and whether the functions are positive or negative.
My understanding is that f(x) = -x^-n for n = 1 equals f(x) = - 1/x.
Can someone please tell me if this is correct? Or have I mistakenly made the function negative when it should be positive?
Many Thanks for your help.