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Pre-Calculus Review

Pre-Calculus Review. Part 1. Graphing. Given f(x) = sin(2x -1) Find the zeros of f(x). Sketch the graph of f(x). Be sure to label any intercepts. Graphing. Given f(x) = Sketch the graph of f(x). Be sure to label any asymptotes and intercepts. Graphing. F(x) =

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Pre-Calculus Review

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  1. Pre-Calculus Review Part 1

  2. Graphing • Given f(x) = sin(2x -1) • Find the zeros of f(x). • Sketch the graph of f(x). Be sure to label any intercepts.

  3. Graphing Given f(x) = Sketch the graph of f(x). Be sure to label any asymptotes and intercepts.

  4. Graphing F(x) = Sketch the graph of F(x). Be sure to label any asymptotes and any intercepts.

  5. Graphing Sketch the graph of f(x). Be sure to label any asymptotes and any intercepts.

  6. Graphing Sketch the graph of f(x). Be sure to label any asymptotes and any intercepts.

  7. Composition and g(x) = If f(x) = find f(g(x)).

  8. Composition If f(x) = and g(x) = Sketch the graph of g(f(x)).

  9. Composition If f(x) = x2 – 4x + 3 and g(x) = ln(x), find g(f(x)).

  10. Composition If f(x) = x2 – 4x + 3 and g(x) = ln(x), sketch the graph of g(f(x)).

  11. Composition Let f(x) be an even function and g(x) be an odd function, show that f(g(x)) is an even function.

  12. Domain? State the domain of .

  13. Domain? State the domain of .

  14. Domain? State the domain of .

  15. Domain? State the domain of .

  16. Domain? State the domain of .

  17. Even/Odd/Neither? Is the following function even, odd, or neither? Justify your answer analytically.

  18. Even/Odd/Neither? Is the following function even, odd, or neither? Justify your answer analytically.

  19. Even/Odd/Neither? Is the following function even, odd, or neither? Justify your answer analytically.

  20. Even/Odd/Neither? Is the following function even, odd, or neither? Justify your answer analytically.

  21. Even/Odd/Neither? Is the following function even, odd, or neither? Justify your answer analytically.

  22. Transformations Given the graph of f(x), sketch the graph of f(|x|). (2,9) f(x) 1 -1 (-2,-8)

  23. Transformations Given the graph of f(x), sketch the graph of |f(x)|. (2,9) f(x) 1 -1 (-2,-8)

  24. Transformations Given the graph of f(x), sketch the graph of lnf(x). (2,9) f(x) 1 -1 (-2,-8)

  25. Transformations (2,9) Given the graph of f(x), sketch the graph of . f(x) 1 -1 (-2,-8)

  26. Transformations Given the graph of f(x), sketch the graph of f(2x - 1)+1. (2,9) f(x) 1 -1 (-2,-8)

  27. Solve for x.

  28. Solve for x.

  29. Solve for x.

  30. Solve for x.

  31. Solve for x.

  32. Inverses Write an equation for the inverse of the function

  33. Inverses Write an equation for the inverse of the function f(x)= x2 – 4x – 5, if x > 2

  34. Inverses Evaluate sin(cos-1 (-0.5))

  35. Inverses Evaluate: cot (tan -1 (3/4))

  36. Inverses Prove: sec -1 (x) = cos-1 (1/x)

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