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

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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:

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

Therefore function will always be greater than or equal to:

$0 + 3 = 3$ $0 + 3 = 3$

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

${RR} >= 3$

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