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? ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download