Domain X= all real numbers
Range Y greater than or equal to zero
The absolute value function will make whatever is inside it positive, even if X is negative.
The absolute value of a number is its distance from zero on the number line, regardless of direction. Hence, the output (y-value) is always non-negative, regardless of whether the input (x-value) is positive or negative.
Domain:
The domain of a function is all the possible input values (x-values) for which the function is defined.
For the absolute value function y=|x|, any real number can be an input.
Thus, the domain is all real numbers, which can be written in interval notation as (-∞, ∞).
Range:
The range of a function represents all possible output values (y-values).
Since the output of the absolute value function is always non-negative, the range is all non-negative real numbers.
In interval notation, this is [0, ∞).
The function y = ∣ x ∣ has a domain of all real numbers and a range of non-negative real numbers (y-values are greater than or equal to zero). This is because the absolute value makes all outputs non-negative, regardless of the input. Thus, the output is never less than zero.
;
Jawaban: please open The Qur'an