Question 6 of 10Which of the following are characteristics of the graph of the reciprocal parent function?Check all that apply.A.It is a hyperbola.B.It is in quadrants I and II.C.It is a parabola.D.It does not go through the origin.
Question
Question 6 of 10Which of the following are characteristics of the graph of the reciprocal parent function?Check all that apply.A.It is a hyperbola.B.It is in quadrants I and II.C.It is a parabola.D.It does not go through the origin.
Solution
The characteristics of the graph of the reciprocal parent function are:
A. It is a hyperbola. The graph of the reciprocal function, y = 1/x, is a hyperbola. It has two branches that approach, but never reach, the x-axis and y-axis, creating an asymptote.
D. It does not go through the origin. The graph of the reciprocal function does not include the origin (0,0) because the function is undefined at x = 0.
So, the correct answers are A and D.
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