The correct option is "The domain remains unchanged, comprising all real numbers."
When the graph of the absolute value function
is reflected over the x-axis, the transformation does not affect the domain. The domain represents all possible x-values, and reflection over the x-axis preserves this set of values.
Therefore, the correct answer is:
a) The domain remains unchanged, comprising all real numbers.
Reflecting the graph over the x-axis changes the sign of the y-values but does not alter the set of possible x-values. The absolute value function, whether reflected or not, maintains its domain of all real numbers. This is a fundamental characteristic of such functions, and transformations that involve reflection across the x-axis do not impact the domain.