graph the function. be sure to label three points on the graph.\n\n$f(x)=\\frac{1}{x}$\n\nchoose the correct…

Explanation:

Step1: Find points on the function

For (f(x)=\frac{1}{x}), when (x = 1), (y=f(1)=\frac{1}{1}=1). So the point is ((1,1)). When (x=- 1), (y = f(-1)=\frac{1}{-1}=-1). So the point is ((-1,-1)). When (x = 2), (y=f(2)=\frac{1}{2}). So the point is ((2,\frac{1}{2})). When (x=-2), (y = f(-2)=\frac{1}{-2}=-\frac{1}{2}). So the point is ((-2,-\frac{1}{2})).

Step2: Analyze the function's properties

The function (y = \frac{1}{x}) is a hyperbola. Its domain is (x\neq0) and range is (y\neq0). It is symmetric about the origin. That is, if ((x,y)) is on the graph, then ((-x,-y)) is also on the graph.

Answer:

Assuming that option B has the points ((1,1)), ((-1, - 1)) and other points consistent with (y=\frac{1}{x}) (since the actual visual of graphs A - D is limited in text - only context but based on the function (y = \frac{1}{x})'s properties), the answer is B.