Question

Which describes the range of the parent absolute value function?

{yly} is a real number}
{yly} is an integer}
{yly ≥ 0}
{yly ≤ 0}

Answer 1

{ y l y ≥ 0 }

Explanation:

The absolute value parent function is:

`f(x) =|x|`

The absolute value of a number means how far the number is from zero on a number line. Therefore, the absolute value of a number is its positive numerical value.

This means that regardless of the value of x, the value of the absolute value parent function (y-value) will always be positive or zero.

The range of a function is the set of all possible output values (y-values).

Therefore, the set notation that describes the range of the parent absolute value function is:

• { y l y ≥ 0 }