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Instructions for using this template. Remember this is Jeopardy, so where I have written “Answer” this is the prompt the students will see, and where I.

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Presentation on theme: "Instructions for using this template. Remember this is Jeopardy, so where I have written “Answer” this is the prompt the students will see, and where I."— Presentation transcript:

1 Instructions for using this template. Remember this is Jeopardy, so where I have written “Answer” this is the prompt the students will see, and where I have “Question” should be the student’s response. To enter your questions and answers, click once on the text on the slide, then highlight and just type over what’s there to replace it. If you hit Delete or Backspace, it sometimes makes the text box disappear. When clicking on the slide to move to the next appropriate slide, be sure you see the hand, not the arrow. (If you put your cursor over a text box, it will be an arrow and WILL NOT take you to the right location.)

2 Jeopardy Choose a category. You will be given the answer. You must give the correct question. Click to begin.

3 Choose a point value. Choose a point value. Click here for Final Jeopardy

4 Add, Subtract, Multiply, & Divide Functions Inverses 10 Point20 Points30 Points40 Points50 Points10 Point 20 Points 30 Points40 Points50 Points30 Points 40 Points 50 Points 12 Basic Functions Transformations Composition Of Functions

5

6 Jeopardy Board 3

7 Which of the 12 basic functions have even symmetry? HINT: There are 3!

8 Jeopardy Board

9 Which of the 12 Basic Functions have ODD symmetry? HINT: There are 4!

10 Jeopardy Board

11 Which 2 of the 12 basic functions are exactly the same just shifted horizontally?

12 Jeopardy Board

13 What is the name of this function, and where are its horizontal asymptotes?

14 Asymptotes at y=1 and the x-axis Jeopardy Board

15 Let f(x) = 3x and g(x) = 5x – 9. Find (f + g)(x)

16 Jeopardy Board (f + g)(x) = 8x - 9

17 Perform the requested operation:

18 Jeopardy Board

19 Perform the requested operation:

20 Jeopardy Board

21 Let f(x) = 1-x 2 and g(x) = 1-x. Find (f  g)(x)

22 (f  g)(x) = 1 - x - x 2 + x 3 Jeopardy Board

23 Find (f – g)(x) and (f + g)(4) for f(x) = 4x 2 -5x+2 and g(x) = 4+2x+2x 2

24 (f – g)(x)= 2x 2 -7x-2 (f + g)(4) = 90 Jeopardy Board

25 The function f(x) = (x – 3) 2 +4 is the basic function f(x) = x 2 translated how?

26 Right 3 units and up 4 units Jeopardy Board

27 Fill in the blanks to complete the statement: The graph of y = e (x+6) -5 can be obtained from the graph of y = e x by shifting horizontally ? units to ? and shifting vertically ? units to the ? direction.

28 6; left; 5; downward Jeopardy Board

29 Give the equation of the function g whose graph is descibed: The graph of is reflected across the x-axis

30 Jeopardy Board

31 If is reflected about the y-axis, what is the new function?

32 Jeopardy Board

33 Rewrite the basic square root function as if it were shifted 8 units to the left and 3 units up.

34 Jeopardy Board

35 Given f(x) = e x and g(x) = x + 6, Find f(g(x))

36 Jeopardy Board f(g(x)) = e x+6

37 Given f(x) = x 5 and g(x) = -5 + x, Find (g f)(x)

38 2 - 3x 3 Jeopardy Board

39 Perform the requested operation: f(x) = 4x 2 + 4x + 8 g(x) = 4x – 3 Find g(f(x))

40 g(f(x)) = 16x 2 + 16x + 29 Jeopardy Board

41 If f(x) = x 4 and g(x) = 1- 2x 2, find g(f(x))

42 1 – 2x 8 Jeopardy Board

43 zz Given and g(x) = x 2 + 4, find (g f)(6)

44 Jeopardy Board

45 The functions f(x) and g(x) are inverses. Draw a function map that clearly organizes the relationships between the functions, their inputs and outputs.

46 Jeopardy Board 1 2 -2/3 1 - 2/3 2

47 Find the equation of the Inverse function of: f(x) = 3x + 4

48 Jeopardy Board

49 Graph the inverse: f(x) = 3x - 1

50 Jeopardy Board

51 Find the inverse of the function:

52 f -1 (x) = 4(x + 8) 3 Jeopardy Board

53 IF: Confirm algebraically that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x

54 Jeopardy Board

55 Final Jeopardy Make your wager

56 Graph the function: a.Use keywords and complete sentences to explain how to obtain your graph from the twelve basic functions. b.On what intervals is the function’s graph increasing? Decreasing? Constant? c.Is the graph even, odd, or neither? d.Is the graph bounded above, bounded below, bounded, or unbounded?

57 USE ONLINE GRAPHING TOOL a.The function f(x) = ln(x) is reflected about the x-axis and then added to the function f(x) = x b.The function is decreasing on (0, 1) and increasing on (1, ∞) c.The graph is neither even nor odd d.The graph is bounded below because there is a minimum


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