Let f(x) 5 x3 1 3x2 2 2x 2 6 and g(x) 5 2f(x) 5 2x3 1 6x 2 4x 212 be two cubic
Chapter 5, Problem 31(choose chapter or problem)
Let f(x) 5 x3 1 3x2 2 2x 2 6 and g(x) 5 2f(x) 5 2x3 1 6x 2 4x 212 be two cubic polynomial functions. a. How does the graph of f(x) compare with the graph of g(x)? b. How do the roots of f(x) compare with the roots of g(x)? c. In general, if p(x) 5 aq(x) and a . 0, how does the graph of p(x) compare with the graph of q(x)? d. How do the roots of p(x) compare with the roots of q(x)?
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