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Given f (x) = 3x 2 – x 4, find the simplified form of the following expression, and evaluate at h = 0 This isn't really a functionsoperations question, but something like this often arises in the functionsoperations context This looks much worse than it is, as long as I'm willing to take the time and be careful. Valid for all values of x for Teachers for Schools for Working Scholars. O F 0 4 5 I H 5 F 0 H F ;.

M417 Homework 3 Solutions Spring 04 (1) (a) For any subsets C 1,C 2 ⊂ A, show that f(C 1 ∪ C 2) = f(C 1) ∪ f(C 2) We must show that any element of f(C 1 ∪ C 2) is an element of f(C 1) ∪ f(C 2), and vice versaSo let y ∈ f(C 1 ∪ C 2) Then y = f(x) for some x ∈ C 1 ∪ C 2If x ∈ C. > 8 0 E C L 0 G 8 0 } X í ð ó. ^ C D ȃg N ̃^ C X g ̏Љ A ̐ ̃T C g Yahoo!.

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Let f(x) = x2 and g(x) = −x3 x2 3x 2 Then f(−1) = g(−1) and f(2) = g(2) Using Rolle’s Theorem, show that there is at least one value c in the interval (−1, 2) where the tangent line to f at (c, f(c)) is parallel to the tangent line to g at (c, g(c)). G } ` C X g u W Y s N j b N v X y V R T g 11 7 i j16 F00 J i15 F00 J j ʋ F ᩐ O v.