Question

Which of the following are characteristics of the graph of the reciprocal parent function?

CHECK ALL THAT APPLY
A) it is a parabola
B) it does not go through the origin
C) it is in quadrants I and II
D) it is a hyperbola

Answer 1

Correct answer: B and D

B) it does not go through the origin
D) it is a hyperbola

Explanation:

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Answer 2

The function
f(x) = 1/x
graphs as a hyperbola in quadrants I and III. Its horizontal and vertical asymptotes are y=0 and x=0, so it does not go through the origin.

The appropriate choices are
B) it does not go through the origin
D) it is a hyperbola