* Circle these problems: 23-27, 37, 40-44, 48, No Calculator!

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1 AdvPreCal 1 st Semester Final Eam Review Name 1. Solve using interval notation: 7 8 * Circle these problems: -7, 7, 0-, 8, 6-66 No Calculator!. Solve and graph: 0. Solve using a number line and leave answer in interval notation: 0 8. Solve and Graph: The equation y 0 is symmetric with the: 6. The equation y is symmetric with the: 7. Find the -intercept(s) of the graph: 8. Find the y-intercept(s) of the graph: y 6 10 y 9. Find the equation of the line passing through (, 8) and (, ). 10. Linville College has 100 students in 000 and 160 students in 00. If the enrollment follows a linear growth pattern, how many students did Linville College have in 008? 11. Identify each conic section. a. b. c. d. y y y y y y y y Find the standard form of a circle with center at, and containing the point, (,). 1. Sketch the following circle. y

2 1. Evaluate h() if h( ) 15. Evaluate f ( 1) if f ( ) 16. Using the piece-wise function if f( ) 1 if find f (). 17. Find the domain (use a number line to help): f ( ) Find the domain and range of the following function. 19. Identify the graphs that are one-to-one functions. a b. c. d Find the -intercepts of the following function. f ( ) ( ) 1. Which of the following functions is odd? even? neither? a. f ( ) 1 b. f ( ) 5 c. f ( ) d. f ( ) 5 5. Which of the following functions is odd? even? neither? a. b. c.. Write and graph the function g ( ) that is shifted horizontally up units and right 5 units of f ( ).. Write and graph the function g ( ) that is the reflection of f ( ) over the y-ais. 5. Identify the equation of the following graph. 5.

3 6. Graph f 7. Graph f ( ) ( ) 8. Evaluate fg( ) for f ( ) and g( ) 9. If f ( ) and g( ), evaluate g f ( 5) 0. Circle all functions that have an inverse? i. ii. iii. iv. 1. Find the inverse of f ( ) 6. The stopping distance of a car is directly proportional to the square of its speed. A car required 0 meters to stop when its speed was 50 km/h. Estimate the stopping distance if the brakes are applied when the car is traveling at 80 km/h.. Find the coordinates of the verte of f ( ). Find the -intercept(s) of y 1 5. Identify the left and right behavior of the graph f ( ) 5 6. Find the y-intercept of f ( ) Write the function for the graph at the right.

4 6 8. Divide by both using long division and synthetic division: 5 9. Solve f ( ) 5 given that is a solution. 0. Simplify: 1. Simplify: i 1 i 6 i 7i 9 Simplify Solve: 5. 8 Evaluate: 6. log ln e 8. Identify the graph of the function y [A] [B] [C] [D] 9. Condense the epression to the logarithm of a single quantity. 6ln ln( ) 50. Solve and round each answer to three decimal places if necessary Solve and round each answer to three decimal places if necessary. 6 ln = 15

5 5. The eponential equation y = 0(.9) shows % 5. If $000 is invested in a long-term trust fund with an interest rate of 8.% compounded monthly, what is the amount of money in the account after 0 years? 5. An initial deposit of $000 is made in a savings account for which interest is compounded continuously. The balance will double in years. What is the annual rate for this account? 55. The number of bacteria present in a culture is given by the following formula, where t is the time in minutes. 0.76t Find the time required, to the nearest tenth, to have 000 bacteria present. B 1000e 56. Lindsey bought a VW in 00 for $10,000. In 007 it was valued at $5,88. Find an eponential equation y ab to model this data. 57. Name the smallest positive angle that is coterminal with Determine which quadrant in which 750 lies. 59. Find the reference angle for Find the reference angle for Find the complement of Convert 10 to radians. 6. Convert 5 to degrees 1 Find the eact value of 6. cos tan cot 5 Evaluate to four decimal places: 67. csc 68. sec 6 5

6 69. A surveyor is standing 5 feet from the base of a tree. The surveyor measures the angle of elevation to the top of the tree as 6.5. How tall is the tree? 70. Find sin θ if cos θ = and tan θ > Find sec θ if cot θ = 1 and cos θ > 0 7. Find the tan θ if sin θ = 5 and cos θ > 0 7. Find the tan Find the amplitude of y sin 75. Find the period of y cos Evaluate: arccos 77. Evaluate: 1 arcsin 78. Evaluate: arccos Evaluate: secarctan 80. Graph. a. yarccos( ) b. y arcsin( ) c. y arccos