QuestionFind the domain and range of the absolute value function: A. , B. all reals, , C. , D. all reals, .
Studdy Solution
STEP 1
Assumptions1. The absolute value parent function is
. The domain of a function is the set of all possible input values (x-values) that the function can accept.
3. The range of a function is the set of all possible output values (y-values) that the function can produce.
STEP 2
To find the domain of the absolute value parent function, we need to consider what values of can be plugged into the function.
The absolute value function can accept any real number as its input. This is because absolute value is defined for all real numbers. Therefore, the domain of the absolute value parent function is all real numbers.
STEP 3
To find the range of the absolute value parent function, we need to consider what values of can be produced by the function.
The absolute value of a number is always nonnegative. This is because absolute value measures distance from zero, and distance is always nonnegative. Therefore, the range of the absolute value parent function is nonnegative real numbers.
STEP 4
So, the domain is all real numbers, and the range is nonnegative real numbers .Comparing this with the given options, we can see that the correct answer is option B.
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