Warmup: What do you know about writing absolute value functions as piecewise-defined functions? • You go from one equation to the other where the graph reflects over the x-axis • The domain for each section of the piecewise is determined by where the interior function changes sign • When the function inside the absolute value produces negative answers, you write the ‘opposite equation’ in for that part of the domain of the piecewise function • The reflection about the x-axis occurs graphically when the output values of the linear function within the absolute value is negative
Homework Check: Parent Letter, p. 15-16 #1-20
Reflections of a Bike Lover M3U1D4 Reflections of a Bike Lover Objective: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Question: What connections exist between the graph of an absolute value function and its corresponding piecewise-defined function?
In small groups, answer page 17-18 #1-12. You will have 30 minutes. You will be asked to solve all 12 at the board.
Page 17 Read with Class
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How do you graph an absolute value function? How do you change it into a piecewise-defined function? Discuss
Classwork: p. 17-18 #1-12 Homework: p. 20 S #4-7 all p. 21 G #1-5 all