Review Sheet for Exam - College Algebra I | MATH 112, Exams of Algebra

Download Review Sheet for Exam - College Algebra I | MATH 112 and more Exams Algebra in PDF only on Docsity! Page 12 19. 62.5% 21. -39.3%79. T & F: 198.5% CPI: 67.2% 80. Percent change was 387% and gas would cost $1.46 81. $798 87. € 2.9 ×10−4 cm 88. 0.002 cm 89a. 18,466,677 ft 89b. Yes it is about 3497 miles 95a. The consumption of alcohol increased from 1949 to 1980 and then decreased from 1980 to 1998. 95b. € 4.9 ×108 gallons 95c. U.S. consumption of alcohol decreased 20.7% (-20.7%) from 1980 to 1998. 96. € 6.87 ×108 ft3; € 5.14 ×109 gallons Page 28 89a. x–min = 1996; x–max = 2004; y–min = 9.7; y–max = 12.8 89b. [1994, 2006, 2] by [8, 14, 2] Answers may vary 92. Year 1950 1960 1970 1980 1990 2000 Number of Master’s Degrees (thousands) 60 75 210 300 325 460 Page 42 2. (3, -9.7) 4. f(-3) = 2 26a. € f −2( ) = 3 € f a + 2( ) = −1− a 26b. x ≤ 1 28a. € f −1( ) = −2 € f a( ) = 3a − 5 a + 5 28b. x ≠ -5 29a. € f 6( ) = −7 € f a −1( ) = −7 29b. All real numbers 36a. f(0) is undefined € f a2 − a +1      = 1 a2 − a 36b. x > 1 64. verbal: multiply the input by 2 then subtract 5 Graphical: numerical: x -2 -1 0 1 2 y -9 -7 -5 -3 -1 70. verbal: square the input and subtract 1 numerical: Graphical: x -2 -1 0 1 2 y 3 0 -1 0 3 78. Yes it is a function, Domain and Range is all real numbers. 80. Yes it is a function, € D = x −5 ≤ x ≤ 5{ } € R = y −1≤ y ≤1{ } Page 66 1. Number Natural Number Integer Rational Number Irrational Number Real Number -2 X X X 1/2 X X 0 X X X 1.23 X X € 7 X X € 16 X X X X -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -3 -2 -1 0 1 2 3 4 5 6 -2 -1 0 1 2 3 4 5 6 7 8 9 10 -4 -3 -2 -1 0 1 2 3 4