Answered

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Which of the following is a key property of the reciprocal parent function?

A. The function has a vertical asymptote.
B. The function has a horizontal asymptote.
C. The function is symmetric with respect to the origin.
D. All of the above.

Sagot :

GinnyAnswer

Final answer:

The reciprocal parent function has key properties including points of passage, asymptotes, and the reciprocal of a reciprocal function.


Explanation:

The key property of the reciprocal parent function is that its graph passes through the points (1,1), (-1,-1), and the origin (0,0). For example, the reciprocal parent function of f(x) = 1/x is g(x) = 1/x.

Moreover, the reciprocal parent function has asymptotes at the lines y = 0 and x = 0. These lines act as restrictions on the function's domain.

Additionally, the reciprocal of a reciprocal function results in the original function. In other words, the reciprocal function of the reciprocal parent function will give the original function back.


Learn more about Reciprocal parent function here:

https://brainly.com/question/39229089


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