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).

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Answer:

The correct answers are

1. A

2. C

3.C

4. B

Step-by-step explanation:

The complete statement for the graph of the function [tex]f(x)=|X|[/tex] are:

  • The domain of the function is all real number except where the function is undefined.
  • The range of the function is [tex][0 \;\text{to}\; \inftty)[/tex] that means all non negative real number.
  • The Graph is over [tex](-\infty \;\text{to}\; \infty)[/tex]  so both statement is valid.

Given information:

The function; [tex]f(x)=|X|[/tex]

The graph of the function is attached in the solution.

Now, as we see in the graph  Following conclusion can be made

As:

  • The domain of the function is all real number except where the function is undefined.
  • The range of the function is [tex][0 \;\text{to}\; \inftty)[/tex] that means all non negative real number.
  • The Graph is over [tex](-\infty \;\text{to}\; \infty)[/tex]  make both the last statement valid.

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