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What do the horizontal lines on the graph represent?

The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning home. . What do the horizontal lines on the graph represent? Where in the graph shows her taking care of the 2 errands?.

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What do the horizontal lines on the graph represent?

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  1. The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning home. • What do the horizontal lines on the graph represent? • Where in the graph shows her taking care of the 2 errands? • Compare how she traveled at the beginning to how she traveled at the very end. • Create Maria’s story so that it matches the graph.

  2. Review HW

  3. Characteristics of Functions

  4. Intercepts • x-intercept – the point at which the line intersects the x-axis at (x, 0) • y-intercept – the point at which the line intersects the y-axis at (0, y)

  5. Find the x and y intercepts, then graph. -3x + 2y = 12

  6. Increasing, Decreasing, or Constant • Sweep from left to right and notice what happens to the y-values • Increasing goes up (L to R) • Decreasing falls down (L to R) • Constant is a horizontal graph

  7. Continuous vs Discrete • Continuous has NO breaks • Discrete has gaps or breaks

  8. Extrema • Minimum Point – greatest value of the function • Maximum Point – least value of the function

  9. Domain & Range • Domain – all x-values of a function • Range – all y-values of a function

  10. Notation • Interval – represents an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included • Set– using inequalities to describe the values

  11. Asymptote A line that a graph gets closer and closer to, but never crosses or touches

  12. Characteristics • Domain: • Range: • Intercepts: • Increasing or Decreasing? • Maximum or Minimum?

  13. Characteristics • Domain: • Range: • Intercepts: • Increasing or Decreasing? • Maximum or Minimum?

  14. Characteristics • Domain: • Range: • Intercepts: • Increasing or Decreasing? • Maximum or Minimum? • Horizontal Asymptote:

  15. Characteristics • Domain: • Range: • Intercepts: • Increasing or Decreasing? • Maximum or Minimum? • Horizontal Asymptote:

  16. Classwork Characteristics of Functions Worksheet 5 problems

  17. Homework Characteristics of Functions Worksheet 6 problems

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