Final answer:
The domain of an absolute value parent function is always all real numbers, making the statement true.
Step-by-step explanation:
The statement 'The domain of an absolute value parent function is always all real numbers' is True. The domain of a function refers to all the possible input values (x-values) that the function can accept. For an absolute value parent function, which is typically written as f(x) = |x|, there are no restrictions on the input values because no matter what real number you input, the absolute value will always provide a real number output. This means the absolute value function is defined for every real number, hence its domain is all real numbers.
The domain of the absolute value parent function is always all real numbers, which means that for any real number input, the function will produce a real number output. The parent function for absolute value is f(x) = |x|. It is a V-shaped graph that opens upward (like a letter V) with the vertex located at the origin (0, 0).For example, if we consider the input x = -3, the absolute value function would output f(-3) = |-3| = 3, which is a real number.