Which graph represents the function f(x)=4 / x
2 answers:
Answer:
All functions of the form f (x) = a / x are known as reciprocal functions.
Where a is a real number
The graph of f (x) is a hyperbola with domain (-infinity, 0) U (0, infinite)
The graph of the function f (x) = 4 / x has a horizontal asymptote at y = 0 and a vertical asymptote at x = 0
As x approaches infinity y approaches 0
As x approaches 0, y approaches infinity.
The graph of this function is shown in the attached figure.
Answer: The graph of rectangular hyperbola represents the function f(x)=4/x.
Explanation: given function, f(x)= 4/x.
The above function shows equation of rectangular hyperbola or equilateral hyberbola.(because, it is the type of .)
Thus, the asymptote of the given function must be perpendicular.
Moreover, if x=2, y=2, if x=-2, y=-2
If x=4, y=1, if x=-4, y=-1
Therefore, this hyperbola is passing through points (2,2), (-2,-2), (4,1) and (-4,-1).
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