Question

Which of the following statements defines a​ function? Choose the correct answer below. A. A function is a set of ordered pairs in which none of the first components in the ordered pairs are negative. B. A function is a set of ordered pairs where all the first components in the ordered pairs have the same value. C. A function is a set of ordered pairs in which each second component in the ordered pairs corresponds to exactly one first component. D. A function is a set of ordered pairs in which each first component in the ordered pairs corresponds to exactly one second component.

Answer 1

Explanation:

D is correct. For any x in the domain of your function, there can be ONLY ONE corresponding y value. If you find more than one y value associated, then this relationship is NOT a function.

Answer 2

Answer: D. A function is a set of ordered pairs in which each first component in the ordered pairs corresponds to exactly one second component.

Step-by-step explanation: In mathematics, Function is a relationship between two groups, in which, each element of the first group corresponds to the elements of the second group only once. They shows how a quantity depends on another. For example, the distance a person travels over time spent.

A function is a technique in which each element (x) of a set X is associated with an element of set Y or f(x). The set X is the domain of a function and set Y or f(x) is the codomain.

Each x is the input of a function or variable and each correspondent y is the value of the function or image of x by f.