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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? Where in the graph shows her taking care of the 2 errands?

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**BELLRINGER: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.**Coordinate Algebra**UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: What are the key features of a linear and an exponential function? Standards: F.IF 4, F.IF 5, F.IF 7, F.IF 7a, F.IF 7e**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)**Find the x and y intercepts, then graph.**-3x + 2y = 12**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 7 problems**Homework**Characteristics of Functions Worksheet 6 problems