Graph the fourth-degree polynomial p(x) = x4 + ax2 + 1 for various values of the constant a. (a) Determine the values of a for which p has exactly one relative minimum. (b) Determine the values of a for which p has exactly one relative maximum. (c) Determine the values of a for which p has exactly two relative minima. (d) Show that the graph of p cannot have exactly two relative extrema
Graph the fourth-degree polynomial p(x) = x4 + ax2 + 1 for various values of the constant a. (a) Determine the values of a for which p has exactly one relative minimum. (b) Determine the values of a for which p has exactly one relative maximum. (c) Determine the values of a for which p has exactly two relative minima. (d) Show that the graph of p cannot have exactly two relative extrema
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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Graph the fourth-degree polynomial p(x) = x4 + ax2 + 1 for various values of the constant a. (a) Determine the values of a for which p has exactly one relative minimum. (b) Determine the values of a for which p has exactly one
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