What is the range of the function #y = |x| + 3#?

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Answer 1 · 2017-08-08T02:22:25

See a solution process below:

The absolute value function takes any positive or non-negative number and transforms it into it's non-negative form.

Therefore:

#abs(x)# will always be greater than or equal to #0#.

Therefore function will always be greater than or equal to:

#0 + 3 = 3#

Therefore, the range of the function is the set of all Real Numbers greater than or equal to #3#

#{RR} >= 3#