Construct a Sign Chart for the following polynomial function and state the intervals where this function is positive and where this function is negative. f(x) = -2(3-2x)(x-3)²(x² + 1) Note: Suppose a function is positive from -2.5 to 1 and from 1 to positive infinity. You would enter the intervals as (-2.5,1)U(1,+inf). There should be no spaces in your answer. Use decimals to the nearest tenth for rational critical values and a capital U for the union symbol. Intervals where f(x) is positive: Intervals where f(x) is negative: A

Algebra & Trigonometry with Analytic Geometry
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Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
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Construct a Sign Chart for the following polynomial function and state the intervals
where this function is positive and where this function is negative.
f(x) = -2(3-2x)(x-3)²(x² + 1)
Note: Suppose a function is positive from -2.5 to 1 and from 1 to positive infinity.
You would enter the intervals as
(-2.5,1)U(1,+inf). There should be no spaces in your answer. Use decimals to the
nearest tenth for rational critical values and a
capital U for the union symbol.
Intervals where f(x) is positive:
Intervals where f(x) is negative:
Transcribed Image Text:Construct a Sign Chart for the following polynomial function and state the intervals where this function is positive and where this function is negative. f(x) = -2(3-2x)(x-3)²(x² + 1) Note: Suppose a function is positive from -2.5 to 1 and from 1 to positive infinity. You would enter the intervals as (-2.5,1)U(1,+inf). There should be no spaces in your answer. Use decimals to the nearest tenth for rational critical values and a capital U for the union symbol. Intervals where f(x) is positive: Intervals where f(x) is negative:
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