The polynomial p(x)=(3−2x)(x^2−5)p(x)=(3−2x)(x^2−5) is graphed in the coordinate plane. Which statement about the graph is correct? A. As x→∞x→∞, p(x)→∞p(x)→∞ and as x→−∞x→−∞, p(x)→∞p(x)→∞   B. As x→∞x→∞, p(x)→∞p(x)→∞ and as x→−∞x→−∞, p(x)→−∞p(x)→−∞   C. As x→∞x→∞, p(x)→−∞p(x)→−∞ and as x→−∞x→−∞, p(x)→∞p(x)→∞   D. As x→∞x→∞, p(x)→−∞p(x)→−∞ and as x→−∞x→−∞, p(x)→−∞

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 1E: Only one of the following graphs could be graph of a polynomial function. Which one? Why are the...
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The polynomial p(x)=(3−2x)(x^2−5)p(x)=(3−2x)(x^2−5) is graphed in the coordinate plane. Which statement about the graph is correct?

A.
As x→∞x→∞, p(x)→∞p(x)→∞ and as x→−∞x→−∞, p(x)→∞p(x)→∞
  •  
    B.
    As x→∞x→∞, p(x)→∞p(x)→∞ and as x→−∞x→−∞, p(x)→−∞p(x)→−∞
  •  
    C.
    As x→∞x→∞, p(x)→−∞p(x)→−∞ and as x→−∞x→−∞, p(x)→∞p(x)→∞
  •  
    D.
    As x→∞x→∞, p(x)→−∞p(x)→−∞ and as x→−∞x→−∞, p(x)→−∞
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