Construct a Sign Chart for the following polynomial function and state the intervals where this function is positive and where this function is negative. ƒ(x) = 2x³(2x − 3)²(x²+4) - 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...
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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) = 2x³(2x - 3)²(x²+4)
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:
A/
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) = 2x³(2x - 3)²(x²+4) 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: A/ Intervals where f(x) is negative:
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