How do you find the domain of #f(x) = |2x + 1|#?

1 Answer
Feb 27, 2017

Answer:

#-oo < x < oo#

Explanation:

The domain is the set of #x# values that an equation can take.

The range is the set of #y# values an equation can spit out.

For #f(x) = |2x+1|#, you can put in any #x# value and get a #y# out, so the domain is anything:

#-oo < x < oo#

However, because it is the ultimate value (or modulus) function, it is the positive distance from zero - in other words, if the output is negative, it becomes positive, and if it is positive, is stays positive.

Therefore, it can only be positive, so the range is:

#f(x) >= 0#