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Graph Families

This interactive clicker game focuses on identifying various types of functions represented by graphs. Participants will answer questions related to reciprocal, exponential, and logarithmic functions, as well as the properties of given graphs. Key topics include recognizing x-intercepts, evaluating domains and ranges, and understanding transformations. Players will engage with multiple-choice questions to enhance their graph interpretation skills in mathematics. This educational tool is perfect for students seeking to improve their comprehension of function types and their graphical representations.

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Graph Families

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  1. Graph Families A Clicker Game

  2. 1. Which graph represents a reciprocal function? A. B. C. D.

  3. 2. Which graph represents an exponential function? A. B. C. D.

  4. 3. Which graph represents a logarithmic function? A. B. C. D.

  5. 4. Which type of graph is represented below? A. Logarithmic B. Absolute Value C. Square Root D. Exponential

  6. Which equation could represent the graph below? A. B. C. D. E.

  7. Given: Enter the number of x-intercepts of the graph.

  8. 7. Which of the following equations is obtained when is shifted 2 to the left and 3 up? A. B. C. D.

  9. Given: Answer the letter(s) corresponding with the x-intercepts of the graph (in alphabetical order). A. -11 B. -7 C. -3 D. 3 E. 7 F. 11

  10. 9. Given: Answer the letter(s) corresponding with the x-intercepts of the graph (in alphabetical order). A. -60 B. -2 C. 2 D. 3 E. 5 F. 60

  11. 10. Which of the following have a domain of ? (List your answers in alphabetical order) A. B. C. D. E. F. G. H.

  12. 11. Which of the following have a range of ? (List your answers in alphabetical order) A. B. C. D. E. F. G. H.

  13. 12. Which of the following are true about the graph of f(x)=log(x+3)-1? (List your answers in alphabetical order) • The domain is (-∞,∞) • The range is (-∞,∞) • There is a vertical asymptote at x=3 • There is a vertical asymptote at x=-3 • There is a horizontal asymptote at x=0 • The function is not defined in quadrant 1 • The function is not defined in quadrant 2

  14. Which of the following are true about the graph of f(x)=-(x-1)(x+3)(x+2)(x+3)? (List your answers in alphabetical order) • The domain is (-∞,∞). • The range is (-∞,∞). • The graph opens up. • The graph opens down. • There are 3 x-intercepts. • There are 4 x-intercepts.

  15. 14. If f(x) is a polynomial function which of the following must be true? A. The range of |f(x)| is (0,∞). B. The range of |f(x)| is (-∞,∞). C. The domain of |f(x)| is (0,∞). D. The domain of |f(x)| is (-∞,∞). E. There is not enough information

  16. Answers • B • C • D • C • E • 3 • D • BCF • BCDE • ACEGH • BH • BDG • ADE • D

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