Detailed Case Study Search the Archive Feedback

1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.

2. If their phone camera doesn't automatically detect and decode QR codes, ask students to

- Download a QR reader (e.g. I-Nigma | NeoReader | Kaywa) onto their mobile devices
- Bring these devices into the lesson.

4. Cut them out and place them around your class / school.

1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.

2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.

3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!

4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.

## Question | ## Answer |

1. For the rational function f(x)= (-7x+7)/(3x+5), find all the vertical asymptotes and horizontal asymptotes | v.a:x=-5/3, h.a: y=-7/3 |

2. The graph of y = |x| is reflected about the x-axis and shifted up 2. Write the resulting function | y = –|x| + 2 |

3. Find the vertex of the parabola associated with the quadratic function. y=x^2 +10x +33 | (–5,8) |

4. Use long division to divide the polynomials. Express the answers in the form of Qx() and rx() (x^2+8x+19)/(x+5) | Q(x)=x+3; r(x)=4 |

5. The graph of y=√(x) is reflected about the x-axis and shifted to the left 7. Write the resulting function. | y=-√(x+7) |

6. Find the domain of the rational function f(x) = (18)/(28-7x) | (-∞,4)U(4,∞) |

7. Rewrite in interval notation: 18≤x≤18 | {18} |

8. Find the equation of the circle with radius 8 and center (–9, –3) in standard form. | (x + 9)^2 + (y + 3)^2 = 64 |

9. Solve c^3 + 3c^2 - 40c = 0 for c. | {0, 5, –8} |

10. Find the horizontal and vertical asymptotes for the function f(x) = [(x+2)(x-3)]/[(x-2)(x+3)] | H.A. y=1, V.A. x=-3, 2 |

11. Solve using the quadratic formula.49y^2 + 56y - 290 =0 | (-4+3√34)/7, (-4-3√34)/7 |

12. The function y = 8 – 3x is a one-to-one function. Find its inverse. | y=-(1/3)x +(8/3) |

13. Solve the equation. |1.4x – 1.8| = 4.1 | {–1.64, 4.21} |

14. Classify the following relationship as a function or not a function. {(–18, –19), (15, 10), (10, –7), (5, 17), (–8, 5)} | a function |

15. For the polynomial function f(x)=(x-4)(x+6)(x-5)^2 , find the y - intercept. | –600 |

16. Find all the real zeros (and state their multiplicity) of the polynomial function. y=x^6 - 8x^5 + 16x^4 | 0 (multiplicity 4), 4 (multiplicity 2) |

17. Determine whether the number 1 is a zero of f(x) = x^3 -x^2 - 36x +36. If it is, find the other real zeros. | 1 is a zero and the others are 6 and –6. |

18. A company has a total of $13,850 allocated for monthly costs. Fixed costs are $7,950 a month and variable costs are $5 per unit. How many units can be manufactured a month? | 1,180 |

19. Determine if the function f(x) = √(7+x) is even, odd, or neither even nor odd. | neither even nor odd |

20. Given the equations f(x) = 8x + 4 and g(x) = 7x – 2, find (f o g)(x) | 56x – 12 |

21. Given the functions f(x) = 9 – 7x and g(x) = 4x + 6, find (f – g)(x) | –11x + 3 |

22. Given the function H(x) = 1 – x^2 , evaluate H(x – 5). | –24 + 10x – x^2 |

23. Solve the radical equation.√(x-3) = 7 | {52} |

24. Find the vertical and horizontal asymptotes for the following function. f(x)= (x^2 + x - 20)/(x^2 - 3x - 18) | y = 1, x = -3, x = 6 |

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