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Jeopardy - Evaluate! Features of Graphs, Domain, & Range, Piecewise Functions: Function, Or Nah??

Test your knowledge on evaluating functions, identifying features of graphs, determining domain and range, and working with piecewise functions. Can you determine if a given set of points forms a function?

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Jeopardy - Evaluate! Features of Graphs, Domain, & Range, Piecewise Functions: Function, Or Nah??

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  1. Jeopardy Evaluate! Features of Graphs Domain & Range Piecewise Functions Function, Or Nah?? $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

  2. Given: F(x) = 2x+3 Evaluate F(4). F(4) = 2(4)+3 = 8+3 = 11 1 - $100

  3. 1 - $200

  4. 1 - $300

  5. 1 - $400 • Given: F(x) = 2x+1 • Given: G(x) = x+6 • Find: F(G(2)). • F(G(2)) = G(2) = 2+6 = 8, F(8) = 2(8)+1 = 16+1 = 17

  6. 1 - $500 • Given: F(x) = 2x+4 • Given: G(x) = x+2 • Find: F(G(F(G(G(2))))). • F(G(F(G(G(2))))) = G(2) = 2+2 = 4, G(4) = 4+2 = 6, F(6) = 2(6)+4 = 12+4 = 16, G(16) = 16+2 = 18, F(18) = 2(18)+4 = 36+4 = 40

  7. 2 - $100 • DEFINE: What is the y-intercept? • The y-intercept is the point(s) on a graph where a graph crosses (“intersects”) the y-axis.

  8. 2 - $200 • Identify the X and Y Intercepts. • X-Intercept: x=-2 Y-Intercept: y=4

  9. 2 - $300 • Identify the Relative Maximum(s) and Relative Minimum(s). • Relative Max @ (1,2) and • Relative Min @ (-1,-2)

  10. 2 - $400 • Identify an interval where the function is INCREASING and one where it is DECREASING. • Increasing: (-∞,-3) U (-1,2) U (4,∞) • Decreasing: (-3,-1) U (2,4)

  11. 2 - $500 • Identify the COORDINATE POINTS where there are an Absolute Minimum and Absolute Maximum. • Absolute Max @ (-4,5) & Absolute Min @ (-1,-6)

  12. 3 - $100 • Find the Domain and Range. • Domain: [0,7] • Range: [-2,4]

  13. 3 - $200 • Find the Domain and Range. • Domain: [-3,2] Range: [-2,3]

  14. 3 - $300 • Find the Domain and Range. • Domain: {-3,0,2,3} Range: {-6,0,6,8}

  15. 3 - $400 • Find the Domain and Range. • Domain: All X values (-∞, ∞) Range: [-1, ∞)

  16. 3 - $500 • Find the Domain and Range. • Domain: [1, ∞) Range: (-∞,∞)

  17. 4 - $100 • Given: • F(x) = 2x+3, for x>1 • F(x) = 3-x, for x<1 • F(x) = 4, for x=1 • If you are asked to evaluate F(2), which function would you use? 1st, 2nd, or 3rd one? • 1st One

  18. 4 - $200 • Given: • F(x) = 2x+3, for x>1 • F(x) = 3-x, for x<1 • F(x) = 4, for x=1 • Evaluate F(4). • F(4) = 1st one. 2(4) + 3 = 8+3 = 11

  19. 4 - $300 • Given: • F(x) = 2x+3, for x>1 • F(x) = 3-x, for x<1 • F(x) = 4, for x=1 • Evaluate F(1) • F(1) = 3rd one = 4

  20. 4 - $400 • Given: • F(x) = 2x+7, for x>0 • F(x) = x-3, for x<0 • F(x) = 0, for x=0 • Evaluate F(-6). • F(-6) = 2nd one. (-6)-3 = -9

  21. 4 - $500 • Given: • F(x) = 2x+7, for x>0 • F(x) = x-3, for x<0 • F(x) = 0, for x=0 • Evaluate F(2) + F(-1). • F(2) = 1st one = 2(2)+7 = 4+7 = 11 • F(-1) = 2nd one = (-1)-3 = -4 • F(2) + F(-1) = 11 + (-4) = 7

  22. 5 - $100 • Function or Not?? • Yes

  23. 5 - $200 • Function or Not?? • No

  24. 5 - $300 • Function or Not?? • No

  25. 5 - $400 • Function or Not? • Yes

  26. 5 - $500 • Function or Not? • Yes

  27. Final Jeopardy • F(-1) = 9-(-1)^2 = 9-1 = 8 • F(5) = 9-(5)^2 = 9-25 = -16 • F(5)-F(-1) = -16-8 = -24 = -4 • 5-(-1) 6 6

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