Question

Which of the following is the reciprocal parent function A.f(x)= -x^2 B.F(x)= x+1 C. F(x)=|x| D.F(x)=1/x

Answer 1

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

Answer 2

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,

$f(x)=\frac{1}{x}$

It can be written as,

$f(x)=x^{-1}$

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.