Note: This is a Common Core Algebra activity which requires understanding of and proficiency with linear functions and restricted domains. Some knowledge of geometry needed.
4
Expression 5: "f" left parenthesis, "x" , right parenthesis equals 2 "x" plus 10 left brace, negative 1 less than or equal to "x" less than or equal to 1 , right bracefx=2x+10−1≤x≤1
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Expression 6: "f" left parenthesis, "x" , right parenthesis equals negative 1 half "x" positive 7.5 left brace, negative 1 less than or equal to "x" less than or equal to 3 , right bracefx=−12x+7.5−1≤x≤3
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Expression 7: "f" left parenthesis, "x" , right parenthesis equals negative 1 half "x" plus 12.5 left brace, 1 less than or equal to "x" less than or equal to 5 , right bracefx=−12x+12.51≤x≤5