Which of the following is the reciprocal parent function?
Question
Which of the following is the reciprocal parent function?
Solution
The reciprocal parent function is 1/x. This function is called the reciprocal function because the output is the reciprocal of the input. Here's a step-by-step breakdown:
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The term "reciprocal" in mathematics refers to the operation of division. Specifically, the reciprocal of a number is 1 divided by that number. For example, the reciprocal of 5 is 1/5.
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A "parent function" is the simplest function of a family of functions, which retains the definition of the family.
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Therefore, the "reciprocal parent function" is the simplest function that gives the reciprocal of the input.
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This function is y = 1/x. For any input x, the output is 1 divided by x. For example, if x is 2, the output is 1/2. If x is 3, the output is 1/3, and so on.
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