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## Final exam Review

by: Nia Notetaker

132

0

29

# Final exam Review 162M

Nia Notetaker
ODU
GPA 3.72
Precalculus I
Robin Flanagan

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Here are all the materials for you final exam. It comes with the answer key and worked out examples.
COURSE
Precalculus I
PROF.
Robin Flanagan
TYPE
Bundle
PAGES
29
WORDS
CONCEPTS
Math 162 162M Precalculus Old Dominion University ODU Flanagan Robin
KARMA
75 ?

## Popular in Mathematics (M)

This 29 page Bundle was uploaded by Nia Notetaker on Thursday December 17, 2015. The Bundle belongs to 162M at Old Dominion University taught by Robin Flanagan in Fall 2015. Since its upload, it has received 132 views. For similar materials see Precalculus I in Mathematics (M) at Old Dominion University.

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Date Created: 12/17/15
1 Final Exam Review Math 162 Solve each equation Be sure to check for extraneous solutions if necessary a Jr 22 280 c fxx3 7Jc2 5x3 x 2 1 1 x2 1 2x 2 b x2 42 3x2 4 40 d 42x11x x1 Express the solution for each inequality using interval notation a b x 4x 1x 2 lt O c 3x 7 2lt3 3 Supply a complete algebraic solution for each a A goldsmith has 120 grams of a gold alloy that is 75 gold How much pure gold must be added to this to create an alloy that is 80 gold b Angelina jogs 100 meters in the same time that Harry bicycles 150 meters If Harry bicycles 15 meters per minute faster than Angelina jogs nd the rate of each in metersminute 0 Mr Jones received an inheritance of 7000 He put part of it in a tax shelter paying 9 simple interest and the rest in a bank paying 6 simple interest If the annual interest totals 540 how much was invested at each rate Graph each of the following curves Write in standard form if necessary a The quadratic function f x x2 2x 3 b The circlex2 y2 4x 6y 3 c The polynomial function f x x 13 x 22 d The rational function f x x 2 x22x 3 e The lnctionfx x 24 xl t The function f x g The function f x log 4 x 4 10 For each of the given functions Find the domain of fx Find f1x Find the range of fx Simplify x h 0 as much as possible a fx 6 5x b fx For each pair of functions nd f o g4 f o gx and the domain ofthe composition 7 x 2 1 a fx2x 3gxx5 b fxx4gxx 2 Write each logarithm in expanded form 5 1 a logz 71 6 b ln5 x2y3z4 x z 3 Write each in compressed form as a single log with a lead coef cient of 1 1 2 3 310335 4103y 31 80 1 b logu2 35 10812 y 10g12 J z Solve each system and express the solution as an ordered pair or ordered triple x 2y3 b 3x2y5 4x6y3 9x 6y15 3x2y229 4x 2y 25 0 2x y222 d 2x y 224 x5y 6z l4 x3y 226 Find the partial fraction decomposition for each a x2 b x4 2x3 Q mil BMQU 2x23x1 x3x 12 x21x1 gEQjMEQ omhyo mail M051 quot Final Exam Wuiau Answer Key lob IxaBQaEJcoro y9 4y 3oo ore39x aa3e WritX 39330 was L a X 33 DO 7 cp ware 7 843 XH lo 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4 4 0 fx x 13x 22 Sign Diagram 2 HP I I x22 I I x2 x2 x2 2x 3 X3x 1 d fx Horiz As y 0 x axis Vertical As x 3 and x 1 x intercept 20 y intercept 0 23 Sign Diagram x2 I x3 l 3 2 1 I x 1 I I e Transformation of f x x 24 0 2 to the right 0 x axis re ection o up4 1 xl 4 f fU39 Transformation of f x o Exponential decay shifted 1 to the Left Horizontal asymptote at y 0 x axis quot0112 g fx 10g4x 4 A a Transformation of f x log4 x o shifted 4 to the Left Vertical asymptote at x 4 2 V V t39 l 6 x S a Domaln oo 00 f x 5 Range oooo Diff Quotient 5 b Domain oo1U1oo f 391 x x 2 x Range oo0 U 0 co Diff Quotient 2 xh 1x 1 6 a f o g4 is unde ned fogx2xx 52 32x 13 Domain 500 b 11 f g4 2 1 1 72 1 2 f0 900 x12 2 2 1 2x Domain x at 0 9 x 7 a log2y 1 210g2x 610g2z3 b Eli Zlnx3lny4lnz 3 2 3 23 8 a log b logi orlog2l y y x 12 9 9 9 a b No Solutlon 0 23 d 2 21 7 14 2 10 a 3 2x1 x1 116 116 54 1 1 5 b 2 2 x3 x l x l or16x3 16x 1 4x 1 1 1 5 4 5 Q cxil 32F 0 2x1 1 ip 197 XZ1 X1

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