Question

A certain relationship is defined as having only one corresponding y-value for each x-value. Which of the following best describes this relationship?

A.
variable
B.
expression
C.
function
D.
equation

Answer 1

We conclude that a function is defined as having only one corresponding y-value for each x-value.

Hence, option (C) is true.

Explanation:

We know that A function is a certain relationship is defined as having only one corresponding y-value for each x-value.

Considering the function

• f(x) = x+1

Here,

• x is the input and f(x) or y is the output.

• 'x' is often called an independent value and y is called the 'dependent' value.

Considering the table

x y

1 2

2 3

3 4

4 5

The values in the table satisfy the function y = x+1.

It is clear from the table that the function has only one corresponding y-value for each x-value. In other words, there is no repetition of 'x' value.

Therefore, we conclude that a function is defined as having only one corresponding y-value for each x-value.

Hence, option (C) is true.