Unformatted text preview: f has at least 8 roots in [2 , 2], or f has at most 6 roots in [2 , 2] . b) If f ( x ) = x 44 x 2 + 2, verify that the relevant values of f are given by the table above. Sketch the graph of y = f ( x ) in the viewing window [2 . 5 , 2 . 5] × [3 , 3]. How many roots does f have in the interval [2 , 2]? Find the roots algebraically. Suggestion: Substitute t = x 2 . c) If f ( x ) = x 44 x 2 +2+5(2 x1) x ( x 21)( x 24), verify that the relevant values of f are given by the table above. Using the Intermediate Value Theorem ﬁnd as many roots of f in the interval [2 , 2] as possible. 1...
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 Spring '08
 Madey
 Physics, Intermediate Value Theorem, Work, Continuous function, Relevant Values

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