Question

Which is a rational function? question 1 options:

A) y equals 5 y equals x squared minus
B) 3 x plus 5 y equals fraction numerator x minus
C) 5 end numerator over denominator x end fraction
D) y equals square root of x minus 3 end root

Answer 1

The correct answer is Option C, which represents a rational function as it is written in the form of one polynomial divided by another polynomial. Option C

Step-by-step explanation:

The student is asking about rational functions, which are a type of function in mathematics characterized by the ratio of two polynomials. A rational function has the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomials and q(x) is not equal to zero.

Of the given options:

Option A does not represent a rational function because there is no ratio of polynomials.

Option B does not provide enough information to determine if it's a rational function.

Option C (y = ) is a rational function because it is written as one polynomial divided by another polynomial.

Option D (y = square root of x - 3) is not a rational function as it involves a square root, not a ratio of polynomials.

Therefore, the correct answer is Option C, which is clearly stated as a ratio of two polynomials and hence defines a rational function. option C