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What do the horizontal lines on the graph represent? PowerPoint Presentation
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What do the horizontal lines on the graph represent? - PowerPoint PPT Presentation


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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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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.
intercepts
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)
increasing decreasing or constant
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
continuous vs discrete
Continuous vs Discrete
  • Continuous has NO breaks
  • Discrete has gaps or breaks
extrema
Extrema
  • Minimum Point – least value of the function
  • Maximum Point – greatest value of the function
domain range
Domain & Range
  • Domain – all x-values of a function
  • Range – all y-values of a function
notation
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
asymptote
Asymptote

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

characteristics
Characteristics
  • Domain:
  • Range:
  • Intercepts:
  • Increasing or Decreasing?
  • Maximum or Minimum?
characteristics1
Characteristics
  • Domain:
  • Range:
  • Intercepts:
  • Increasing or Decreasing?
  • Maximum or Minimum?
characteristics2
Characteristics
  • Domain:
  • Range:
  • Intercepts:
  • Increasing or Decreasing?
  • Maximum or Minimum?
  • Horizontal Asymptote:
characteristics3
Characteristics
  • Domain:
  • Range:
  • Intercepts:
  • Increasing or Decreasing?
  • Maximum or Minimum?
  • Horizontal Asymptote:
classwork

Classwork

Characteristics of Functions

Worksheet 5 problems

homework

Homework

Characteristics of Functions

Worksheet 6 problems