6-5 What is “absolute value” - Cerabone Classroom
SOLVE ABSOLUTE VALUE EQUATIONSNAME: __________________________________GRAPHICALLYA.REI.3 Solve equations and inequalities.Focus Question: How many solutions does an absolute value equation have? 442371927392Definition Absolute Value: 0Definition Absolute Value: If x= 12, x can be 12 or – 12. Why does this make sense? One of the solutions to |x – 3| = 41 is – 38. How do you know this is true? What is the other solution to |x – 3| = 41?4643755114438Solve GraphicallyUse technology to solve the absolute value equation: 2|x + 4| =6. y1 = 2|x + 4|y2 = 6Graph both equations on the same set of axes.Trace to find the intersection points and label them on your graph.The solutions to 2|x + 4| = 6 are x = – 1 and x = – 7.How do the intersection points show the solutions? 4635953160020xy1y2-2-1012340xy1y2-2-1012342199862875200Solve. – 3|x – 1| + 4 = – 2y1 = y2 = solution(s): You can also use the table on the calculator to find the solution. Copy the table. Circle where y1 and y2 are both -2.Explain how the table shows the solutions.471559266565Use graphing to show why there is no solution for 5 + |x – 1| = 2.y1 = y2 = 471686265295Use graphing to show why there is only one solution for 5 + |x – 1| = 5y1 = y2 = Summary: How many solutions does an absolute value equation have? How do you solve an absolute value equation by graphing? ................
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