Answered

Get clear, concise, and accurate answers to your questions on IDNLearn.com. Our community is here to provide detailed and trustworthy answers to any questions you may have.

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 :

GinnyAnsweridn

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


Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.