Expert Answers
sciencesolve eNotes educator| Certified Educator

The absolute value function `f(x) = |x|` is a two pieces function, such that:

`f(x) = |x| = {(x, x >= 0),(-x, x < 0):}`

Graphing the absolute value function yields two lines, that are the bisectrices of the quadrants 1 and 2, such that:

You should notice that the values of the function `f(x) = |x|` are positive for `x in R` , hence, the domain of the function` f(x) = |x|` is the real numbers set `R` and the range is `[0,+oo).`

tonys538 | Student

You have only given the relation f(x) = |x|. There is nothing given in terms of what you want from this function.

If f(x) = |x| it is equivalent to:

f(x) = x for x >= 0

f(x) = -x for x < 0

The graph of this function is:

As can be seen, the value of y is always greater than or equal to 0 irrespective of the sign of x.

nisarg | Student


because X will make all y values postitive