ANSWER
<em>alternate interior angles theorem</em>
EXPLANATION
According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.
From the above diagram line r is parallel to line s, therefore
and
because they are alternate interior angles.
See attachment for how to spot alternate interior angles.
Answer:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)
Step-by-step explanation:
The function absolute value of x that is written: f(x) = | x | assigns only positive values to f(x) at any value of x.
For example, if for f(x) = | x | we make
f(-23) = | -23 | then the absolute value of x "transforms" the number -23 to +23.
Then f(-23) = | -23 | = 23
This means that f(x) will be positive for any value of x.
Therefore, we can conclude that:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)