Question

Which relation is a function?

Answer 1

The relation that is a function is:

b. y = 2x² - 3x + 7

When a relation is a function?

A relation is a function if each value of the input is mapped to only one value of the output.

Hence, when both x and y are squared, we have that $x = \pm ay$, hence it is not a function. This is the case for items a and c.

For item d, we have that the relation can be simplified as follows:

x = -y² + 3y

x = y(-y + 3)

The solution above, is associated to two values of y, hence it is also not a function. Then the function is given by:

b. y = 2x² - 3x + 7

In the solution, it can be seen that for each input x, only one value of y can be generated.

More can be learned about relations and functions at brainly.com/question/12463448

#SPJ1