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Approaches to Mathematics: Graphs and Models

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Presentation Transcript

  1. Warm-Up Explain how you made each match (Without a calculator!)

  2. Section P.1: Graphs and Models p.3 - 10

  3. 4 Approaches to Mathematics: • Verbal – Explain in words • Numerical – Table of values • Graphical – Using graphs • Analytical – Manipulating symbols and equations

  4. Sketch a graph of f(x) = 1 – x2 Method 1: Make a table and plot points.

  5. Sketch a graph of f(x) = 1 – x2 Method 2: Using a graphing calculator.

  6. Why not just always use a graphing calculator? • Give the number of zeros of f(x) = sin(ln x)

  7. Why not always just use a graphing calculator? • Graph y =

  8. Finding x and y-intercepts: x2y – x2 + 4y = 0

  9. Finding x and y-intercepts: • y =

  10. Symmetry: • X-axis: • Y-axis: • Origin:

  11. Check for symmetry: y = (x + 2)2

  12. Why does symmetry help? x – y2 = 2

  13. Find Points of Intersection and check: • x2 + y = 5 x – y = 1

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