Solve the Problem $f ( x ) = x ( x - 2 ) ( x - 1 ) ^ { 2 }$

question 31

Multiple Choice

Solve the problem.
-Which of the following polynomial functions might have the graph shown in the illustration below?

• A) \(f ( x ) = x ( x - 2 ) ( x - 1 ) ^ { 2 }\)
• B) \(f ( x ) = x ( x - 2 ) ^ { 2 } ( x - 1 )\)
• C) \(f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 1 )\)
• D) \(f ( x ) = x ^ { 2 } ( x - 2 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)

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Definitions:

R

Symbol commonly used to denote resistance in electrical circuits, measured in ohms (Ω).

Power Factor

The ratio of the real power flowing to the load to the apparent power in the circuit, indicating how effectively electrical power is converted into useful work output.

RC Parallel Circuit

An electrical circuit composed of resistors (R) and capacitors (C) connected in parallel, affecting the total impedance seen by an alternating current (AC) source.

R

A symbol commonly used to represent resistance in electrical circuits, measured in ohms (Ω).