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

Answer 1

Isaiah Anthony

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#

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Answer 2

Eva Adamson

The range of the function y = |x| + 3 is all real numbers greater than or equal to 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.