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2. $ 100 $ 200 $ 300 $ 400 $ 500 Function Basics One to One fun Graphing Functions Max and Min Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500

3. Function Basics Main Board Answer $ 100 Evaluate the function at the give value

4. The answer is: Main Board Question Function Basics$ 100

5. Function Basics Given that this is the graph of f(x), what is the value of f(-2) Main Board Answer $ 200

6. The answer is: f(-2)=1 Main Board Question Function Basics$ 200

7. Function Basics Given how h(x) and z(x) are defined, find the following Main Board Answer $ 300

8. The answer is: Main Board Question Function Basics$ 300

9. Function Basics Find the average rate of change of the function between the given values. Main Board Answer $ 400

10. The answer is: Main Board Question Function Basics$ 400

11. Function Basics What is the domain: Main Board Answer $ 500

12. The answer is: Main Board Question Function Basics$ 500

13. One to One fun Main Board Answer $ 100 Given that Find

14. Main Board Question One to One fun$ 100

15. One to One fun Main Board Answer $ 200 In order to find an inverse for a function, we first make sure the function is _______. If we have the graph of the function, this comes down to using the _________ line test.

16. Main Board Question One to One fun$ 200 In order to find an inverse for a function, we first make sure the function is one-to-one. If we have the graph of the function, this comes down to using the horizontal line test.

17. One to One fun Main Board Answer $ 300 Find the inverse of the following function

18. Main Board Question One to One fun$ 300

19. One to One fun Main Board Answer $ 400 How could you describe the graph of f(x) when it is compared to the graph of the inverse of f(x)?

20. Main Board Question One to One fun$ 400 They are reflections of one another over the line y = x.

21. One to One fun Main Board Answer $ 500 When give two functions say h(x) and g(x), how can you determine if they are inverses of one another.

22. Main Board Question One to One fun$ 500 If you have the graphs of h(x) and g(x), you can check if they are reflections of one another over the y = x line. If you have the equations of h(x) and g(x), then you must compute h(g(x)) and g(h(x)), and show that both of these are equal to x

23. Graphing Functions Graph f(x) Main Board Answer $ 100

24. The answer is: Main Board Question $ 100Graphing Functions

25. Main Board Answer $ 200 Write f(x) in standard form. Graph f(x) Graphing Functions

26. Main Board Question $ 200 The answer is: Graphing Functions

27. Main Board Answer $ 300 List all the transformation in the function, and what caused the transformation. y = -f(9x) + 3 Graphing Functions

28. Main Board Question $ 300 The negative sign out front reflects f(x) in the x-axis (pg 185) The 9 in the function shrinks f(x) by a factor of 1/9 (pg 187) The 3 outside the function shifts f(x) up 3 units (pg 183) Graphing Functions

29. Main Board Answer $ 400 Given the graph of g(x) below, graph y = 4g(x - 1) Graphing Functions

30. Main Board Question $ 400 The answer is: Graphing Functions

31. Main Board Answer $ 500 What is the “parent” function below. How has it been transformed? Write the function Graphing Functions

32. Main Board Question $ 500 The parent function is: It has been shifted to the right 4, and down 2: Graphing Functions

33. Find the maximum or minimum of the following function Main Board Answer $ 100Max and Min

34. The minimum occurs at the vertex, which is (-2, -3) Main Board Question $ 100Max and Min

35. What is the maximum value of f(x) Main Board Answer $ 200Max and Min

36. Complete the square to get it into standard form. The minimum occurs at (-2,-10) Main Board Question $ 200Max and Min

37. For what intervals is f(x) increasing, and decreasing? Main Board Answer $ 300Max and Min

38. The answer is: Main Board Question $ 300Max and Min

39. Main Board Answer $ 400 A projectile on Earth is fired straight upward so that its distance (in feet) above the ground t seconds after firing is given by Find the maximum height it reaches and the number of seconds it takes to reach that height. Max and Min

40. We use the formula on pg 197 to get that the maximum height will be reached after 12.5 seconds. Main Board Question $ 400 We plug this into the function to get that the maximum height will be 2500 ft. Max and Min

41. Main Board Answer $ 500 If 1800 ft of fencing is available to build five adjacent pens as shown in the diagram, What are the dimensions, and maximum area of all the pens? Max and Min

42. The function that models the area will be Main Board Question Max and Min$ 500 Where x is the width of the pens. Using the formula on pg 197 we get the area will be maximized when x = 150 ft. Using this we can find that the maximum area will be 67500 square feet.

43. Anything Goes State the vertical line test. What is it used for? Main Board Answer $ 100

44. A curve in the coordinate plane is a graph of a function if and only if no vertical line intersects the curve more than once. Pg 163 We use this test when we have a graph and we want to determine if it’s a function or not. Main Board Question Anything Goes$ 100

45. Anything Goes What is the domain of f(x)/g(x) Main Board Answer $ 200

46. This is the domain of f(x) intersected with the domain of g(x), not including those places where g(x) is equal zero. For more precise notation on the domain and an example see Pg 214-215. Main Board Question Anything Goes$ 200

47. Anything Goes If f(x) is given by the following Main Board Answer $ 300 Find the value of

48. The answer is: Main Board Question Anything Goes$ 300

49. Anything Goes Find a function that models the length of a rectangle in terms of its perimeter and width Main Board Answer $ 400

50. This is a function for perimeter in terms of length and width Main Board Question Anything Goes$ 400 To get a function that models length in terms of perimeter and width, we solve for l.

51. Anything Goes Graph the greatest integer function. Main Board Answer $ 500 Can we apply transformations to this function? Is this function one-to-one?

52. This can be found on pg 166. Main Board Question Anything Goes$ 500 Even though this function looks very different from the other functions we have covered, we can apply transformations to it as well. It is not one-to- one since it doesn’t pass the horizontal line test.