Respuesta :

The reciprocal parent function would be, F(x)= 1/x

Answer: The correct option is D.

Explanation:

The reciprocal function is in the form of rational function and negative exponent form.

The parent equation of reciprocal function is,

[tex]f(x)=\frac{1}{x}[/tex]

It can be written as,

[tex]f(x)=x^{-1}[/tex]

The domain of this function is all real numbers except 0 and range is all real number except zero.

Therefore, the correct option is D.

The function in option A and B are polynomial functions.

The function in option C is a modulus function.

Therefore, the options A,B and C are incorrect.