What do the horizontal lines on the graph represent?

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

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.

Characteristics of Functions

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
• 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 has NO breaks
• Discrete has gaps or breaks
Extrema
• Minimum Point – least value of the function
• Maximum Point – greatest value of the function
Domain & Range
• Domain – all x-values of a function
• Range – all y-values of a function
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

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

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

Classwork

Characteristics of Functions

Worksheet 5 problems

Homework

Characteristics of Functions

Worksheet 6 problems