Use the Graph Of $f ( x ) = | x |$

question 498

Multiple Choice

Use the graph of $f ( x ) = | x |$ to write an equation for the function whose graph is shown.

• A) \(f ( x ) = - 3 | x - 2 | + 2\)
• B) \(f ( x ) = - 3 | x + 2 | + 2\)
• C) \(f ( x ) = | - 3 x + 2 | + 2\)
• D) \(f ( x ) = - 3 | x + 2 | - 2\)
• E) \(f ( x ) = | - 3 x - 2 | + 2\)

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Definitions:

Logic

The study of principles of reasoning, especially of the structure of propositions and the nature of deductive inference.

Validity

The quality of being logically or factually sound; the extent to which a concept, conclusion, or measurement is well-founded and corresponds accurately to the real world.

Truth

The quality or state of being in accordance with fact or reality; it is often considered to be the ultimate standard by which reality is judged.

Hypothetical Syllogism

A deductive argument that contains two premises, at least one of which is a conditional statement.