Question

Consider the function represented by the equation y – x – 4 = 0. What is the equation written in function notation, with x as the independent variable?

Answer 1

Writing an equation in function notation, with x as the independent variable is the same as solving the equation for y.

So, we start with

`y-x-4=0`

and we move
`-x-4` to the right hand side, i.e. we add
`x+4` to both sides:

`y-x-4+(x+4)=0+(x+4) \iff y=x+4`