1. Jeopardy Math Review Unit 1: Functions and Their Graphs Unit 2: Polynomial and Rational Functions Unit 3: Exponential and Logarithmic Functions Unit 4: Trigonometry Unit 1: Functions and Their Graphs II 100 200 300 400 500 Final Jeopardy

2. Calculate the midpoint between the points: (8, -5) and (-2, 3) Calculate the distance between the points: (-7, 4) and (1, 6) Midpoint = (3, -1) Distance = root68 = 8.25

3. Calculate the slope of the line through the given points: Line A: (2, 4) (-3, 5) Line B: (0, -7) (1, -2) What kind of lines are A and B? Slope = -1/5 Slope = 5 perpendicular

4. Write the slope-intercept equation of the line that meets the following criteria: Line C: Parallel to the line y = 3x – 9 and through the point (2, -2) y = 3x - 8

5. Given the following pairs of points, write the point-slope form of the line: Line F: (1, 2) and (0, -5) y - 2= 1/7(x – 1) OR y + 5 = 1/7(x – 0)

6. f -1 (x) = x 2 – 8 3

7. vertex = axis of symmetry: x-intercept(s) = y-intercept(s) = max/min = equation of graph: (-2, 6) X = -2 -5 and 1 4 max @ (-2, 6) y = -(x + 2) 2 + 6

8. Write the equation of the quadratic function given the vertex and point. Vertex = (4, 5) Point = (3, 2) y = -3(x – 4) 2 + 5

9. Completely factor the polynomials: Use Synthetic Division to find the quotient. -2x(x + 2)(x -1) (3x - 1)(x + 2) x 2 -2x +6

10. Write the complex number in standard form and write its conjugate. Find the sum. Find the product. Write the complex fraction in standard form. 15 + 6i15 – 6i 18 – 3i -27 + 23i -2 + 29i 13

11. -2 < x < 7 Solve the nonlinear inequality:

12. Evaluate the exponential function: Write the logarithm as an exponential: Solve the equation for x: f(2/3) = 0 36 1/2 = 6 x = 5

13. Evaluate the logarithms: -3 1

14. Write the exponential as a logarithm: Solve the logarithmic equation for x: Using a calculator, evaluate the logarithm: log5(25) = 2 x = -3 1.44

15. Expand the logarithmic equation: Condense the logarithmic equation: = log(4y 3 +2) – 6log(x) – 2 log(z) = log 8 [(z-5) 2 /(x+3) 6 ]

16. Solve for x. x = 32 x = 6.77 x = 100.86

17. Convert the radian measure to degrees: Convert the degree measure to radians: Find the supplement of the angle: Find the complement of the angle: 330° 5π/6 7π/4 π/4

18. Evaluate the following: Undefined Root2/2 -root3/2

19. Find the values of x. x = root65 = 8.06 x = 7

20. Evaluate the trigonometric functions of the angle. 5/root61 -6/root61 -5/6

21. -root10/10 -root10 3root10/10 root10/3 -1/3 -3

22. f(2) = 11 x = -1, 1 f(x + 3) = 5x 2 + 30x + 36

23. x = all real numbers except -7 x = all real numbers greater than or equal to -12 f(x) is neither

24. Use bracket notation to describe all increasing, decreasing, or constant intervals of the graph. INC DEC INC DEC INC (-∞, -8] [-8, -5] [-5, 8) (8, 6] [6, ∞)

25. Write the equation of the quadratic parent function with A = -1, B = 5 and C = -3. Describe the effects that each value (A, B, and C) has on the graph of the quadratic parent function. y = -(x+5) 2 – 3 A = -1 means the graph is flipped over the x-axis B = 5 means the graph is shifted to the left 5 units C = -3 means the graph is shifted down 3 units

26. f(x) + g(x) = x 2 +x +1 f(x)g(x) = 3x 3 - 7x 2 + 8x -2 f(g(x)) = 9x 2 - 12x + 5

27. Unit 5: Graphs and Inverses of Trigonometric Functions

28. Fill in the table and write the equation that the graph models. amplitude =period =left endpoint =max = a =b =c =d = 3π (0, 5) 5 3 2 0 2 y = 2 + 3cos(2x)