Solve
-If $f ( x ) = | x |$ (Solid Line)and

question 296

Multiple Choice

Solve.
-If $f ( x ) = | x |$ (solid line) and $g ( x ) = 6$ (dashed line) , find when $f ( x ) = g ( x )$ and when $f ( x ) > g ( x )$ .

• A) \(f ( x ) = g ( x )\) when \(x = 6\) and \(x = - 6\) \(f ( x ) > g ( x )\) when \(x > - 6\) and \(x < 6\)
• B) \(f ( x ) = g ( x )\) when \(x = - 6\) \(f ( x ) > g ( x )\) when \(x > 6\)
• C) \(f ( x ) = g ( x )\) when \(x = 6\) and \(x = - 6\) \(f ( x ) > g ( x )\) when \(x < - 6\) or \(x > 6\)
• D) \(f ( x ) = g ( x )\) when \(x = 6\) \(f ( x ) > g ( x )\) when \(x < - 6\)

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Definitions:

Independent Variables

Variables in an experiment that are manipulated by the researcher to observe their effect on the dependent variables.

Conceptual Replications

Repeating a study with different methods or under different conditions to verify the findings of the original study.

Conceptual Variables

Theoretical entities or constructs that represent ideas or concepts being studied but are not directly observable.

Spatial Reasoning

The ability to understand and remember the spatial relations among objects, often tested through puzzles and visual-spatial tasks.