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Published byAugusta Lawson Modified over 9 years ago
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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. 1.What do the horizontal lines on the graph represent? 2.Where in the graph shows her taking care of the 2 errands? 3.Compare how she traveled at the beginning to how she traveled at the very end. 4.Create Maria’s story so that it matches the graph.
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Characteristics of Functions
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NotationNotation 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
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InterceptsIntercepts 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)
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Find the x and y intercepts, then graph. -3x + 2y = 12
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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
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Picture Example
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Example:
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Continuous vs Discontinuous Continuous has NO breaks Discontinuous has gaps or breaks
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Picture Example of Continuous
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Picture Example of Discontinuous
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Discrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. (The points are not connected
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ExtremaExtrema Minimum Point – least value of the function. Lowest Point. Maximum Point – greatest value of the function. Highest Point
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Picture Example
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Example
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Domain & Range Domain – all x-values of a function Range – all y-values of a function
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Picture Example
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Ecample
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AsymptoteAsymptote A line that a graph gets closer and closer to, but never crosses or touches
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Example
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CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum?
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CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum? 6.Horizontal Asymptote:
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ClassworkClasswork Characteristics of Functions Worksheet 5 problems Characteristics of Functions Worksheet 5 problems
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HomeworkHomework Characteristics of Functions Worksheet 6 problems Characteristics of Functions Worksheet 6 problems
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