Parabola A can be represented using the equation (x + 3)2 = y, while Line B can be represented using the equation y = mx + 9. Is
abel determines one solution to the system of two equations must always pass through the vertex of Parabola A. Which best describes the reasonableness of her solution? Isabel is correct because the y-intercept of Line B is (0, 9) and the value of y when x = 0 in Parabola A is 9. Isabel is correct because the y-intercept of Line B is (9, 0) and the value of x when y = 0 in Parabola A is 9. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the y-intercept of the functions, not necessarily the vertex. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the x-intercept of the functions, not necessarily the vertex.
2 answers:
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We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.