lls it's a and...f-l1a: evaluate each limit 9. lim 8→2 (8b4 10. lim 8→((c8 6c89 f-l2a: use the...
TRANSCRIPT
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F-C4 NAME: Consider !(#) = −2#( + 18# − 28
1. Is !(#) continuous on the interval [5,9]? Explain.
2. Explain why there must be a value c in [5,9] such that !(,) = 8
3. Find the value or values of c in [5,9] such that !(,) = 8 guaranteed to exist in problem 2. D-C1
4. Use the limit definition of derivative to show that if !(#) = 2#( − 3# + 5, then !/(#) = 4# − 3.
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81 because f s 282ft
f c 82418C 28 80 22 18C1360 242 9 1180 2 c f c 3
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D-C7 For each problem, find the derivative function.
5. 1 = −3#2 − 9#4 + 5(4 #6 + 2
6. !(#) = 4#( − 6√89: + 5√#(;
7. 1 = (8 + √# −5(8<
8. 1 = =6
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Ex onesg jEIRationalExponents
fab Xbla
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5
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derivative O
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F-L1a: Evaluate each limit
9. lim8→2
(8B4
10. lim8→(
(C86C89
F-L2a: Use the graph to rate each as true or false. If false, explain why. 11. lim
8→D!(#) = 3
12. lim
8→5!(#) = 1
13. lim
8→C5C!(#) = 3
14. lim
8→C5!(#) = 3
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F-C3 15. Find and classify any discontinuities of the function. Justify your classifications using limits. !(#) = 8B44C68C89 F-B1: 16. Find any vertical and horizontal asymptotes of the function. Justify your answer with limits. !(#) = (8C28B4
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