Find the Zeros for the Polynomial Function and Give the Multiplicity

question 416

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses
the x-axis or touches the x-axis and turns around, at each zero.
-Touches the $x$ -axis at 0 and crosses the $x$ -axis at 4 ; lies above the $x$ -axis between 0 and 4 .

• A) \(f ( x ) = - x ^ { 3 } + 4 x ^ { 2 }\)
• B) \(f ( x ) = x ^ { 3 } + 4 x ^ { 2 }\)
• C) \(f ( x ) = x ^ { 3 } - 4 x ^ { 2 }\)
• D) \(f ( x ) = - x ^ { 3 } - 4 x ^ { 2 }\)

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Definitions:

Contingency Management

Contingency Management is a behavioral therapy technique that rewards positive behaviors and discourages negative ones through reinforcement.

Behavioral Component

Aspects of therapy that focus on changing observable and measurable behaviors as a means to improve mental health.

Rational-emotive Theory

This theory, developed by Albert Ellis, emphasizes the role of rational thinking in the development of emotional and behavioral issues and aims to change irrational beliefs.

Irrational Beliefs

Faulty, unrealistic thought patterns that often lead to negative emotional outcomes and behaviors.