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

Well, in slope-intercept form, the equation will be y = x + 4. In standard form, the equation will be x - y = -4.

Answer 2

`y = x+4`

Explanation:

Given : The function represented by the equation
`y - x- 4 = 0`

To Find: What is the equation written in function notation, with x as the independent variable?

Solution:

`y - x- 4 = 0`

`\Rightarrow y- x = 4`

`\Rightarrow y = x+4`

Now y depends on x

So, x is an independent variable.

Hence the equation written in function notation, with x as the independent variable is
`y = x+4`