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Name:__________ warm-up 2-6 Which scatter plot represents the data shown in the table? Which prediction equation represents the data shown in the table? A.y = 2x + 94 B.y = 2x + 64 C.y = –2x + 94 D.y = –2x + 64 Use your prediction equation to predict the missing value. A

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The scatter plot shows the number of summer workouts the players on a basketball team attended and the number of wins during the following season. Predict the number of wins the team would have if they attended 24 summer workouts.

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Details of the Day EQ: Why are both equations and inequalities needed to describe the solutions to a real- world problem? What are the different ways that slope can be used to represent various concepts? I will be able to… Activities: Warm-up Review homework Notes: Special Functions Mid-chapter test Class work/ HW Vocabulary: piecewise-defined function piecewise-linear function step function greatest integer function absolute value function. Write and graph piecewise- defined functions. Write and graph step and absolute value functions.

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Special Piecewise function graphPiecewisePiecewise Piecewise function graphPiecewise function graph Piecewise function graph Piecewise function graphPiecewise function graph

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A Quick Review Which scatter plot represents the data shown in the table? Which prediction equation represents the data shown in the table? A.y = 2x + 94 B.y = 2x + 64 C.y = –2x + 94 D.y = –2x + 64 Use your prediction equation to predict the missing value. A

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The scatter plot shows the number of summer workouts the players on a basketball team attended and the number of wins during the following season. Predict the number of wins the team would have if they attended 24 summer workouts. A Quick Review

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Notes and examples

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Write the piecewise-defined function shown in the graph.

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Notes and examples PSYCHOLOGY One psychologist charges for counseling sessions at the rate of $85 per hour or any fraction thereof. Draw a graph that represents this situation.

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Notes and examples SALES The Daily Grind charges $1.25 per pound of meat or any fraction thereof. Draw a graph that represents this situation.

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Notes and examples

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Graph y = |x| + 1. Identify the domain and range.

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Notes and examples Identify the function shown by the graph.

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