Question

Which of the following equations is a constant function? y = x y = 5 x = 5

Answer 1

y=5

Explanation:

Answer 2

Second Option

`y = 5`

Explanation:

A constant function is one for which the range does not change regardless of the value of the domain.

`f (x_1) = f (x_2) = f (x_3) = m`

Where m is a constant.

The constant functions are horizontal lines parallel to the axis of the x

Note that

`y = x` is not a constant function because the value of y changes when x changes.

x = 1, y = 1

x = 2 y = 2

`x = 5` is not a constant function because the range of the function is not constant.
`x = 5` is a vertical line

`y = 5` is a constant function, since for any of the value of x, the value of y will always be 5