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

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,

It can be written as,

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.

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proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.