Question

Complete the statements for the graph of f(x) = |x|. The domain of the function is . The range of the function is . The graph is over the interval (0, ∞). The graph is over the interval (–∞, 0).

Answer 1

Answer:

The correct answers are

1. A

2. C

3.C

4. B

Step-by-step explanation:

Answer 2

Answer:

Domain of f(x): All real numbers

Range of f(x):  $f(x) \geq0$ ---> [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):  $f(x) \geq0$ ---> [0, ∞)

The graph is over the interval (0, ∞)