Question

If a relation is a function, then y can be replaced with f(x) which denotes the relation between x and y.

What does the mathematical phrase 'y is a function of x' mean?

a) For every value of x, there exists a unique value of y.
b) For every value of y, there exists a unique value of x.
c) The variables x and y are unrelated.
d) The relation is not a function.

Answer 1

In mathematics, 'y is a function of x' means that for every value of x, there exists a unique value of y.

Step-by-step explanation:

In mathematics, the phrase 'y is a function of x' means that for every value of x, there exists a unique value of y. This implies that there is a specific relationship or rule that determines the value of y based on the value of x.

For example, consider the linear equation y = mx + b. In this equation, x is the independent variable and y is the dependent variable. For each value of x that you input, the equation will give you a corresponding unique value of y.

Therefore, the correct answer is option (a) For every value of x, there exists a unique value of y.