Parent Functions of Rational Functions

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Parent functions are the simplest forms of functions in a particular category, serving as the foundation for more complex functions. For rational functions, the parent function is typically f(x) = 1/x, which represents the basic behavior of rational expressions. The discussion highlights confusion regarding the term "parent functions," particularly in relation to rational functions, and clarifies that these functions are not necessarily linked to integration or derivation. Participants emphasize the importance of understanding these foundational functions to grasp more complex mathematical concepts. Overall, the conversation aims to clarify the definition and significance of parent functions in the context of rational functions.
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what is the precise definition of "parent functions" ?

I know that : f(x)=x ,f(x)=x^2 , f(x)=sqr(x) , f(x)=1/x , f(x)=|x| are parent functions but what about Rational functions?
what is the parent function of the Rational functions ?
 
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never heard of them.
 
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Do you perhaps mean functions that have not yet been integrated or derived?

Also, please don't type in all caps. It's giving me a headache.
 
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Hobin said:
Also, please don't type in all caps. It's giving me a headache.

You can always report these things. I'll remove the caps.
 
micromass said:
You can always report these things. I'll remove the caps.

I didn't know that, I'll keep it in mind. :smile:
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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