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Chapter 2: Q35. (page 106)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x鈭�1=4.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b鈮�0, thena=b or a=鈭�b.

02

Step-2. Find the mid-point of points -3 and 5.

To find the point midway between two points -3 and 5, add the two values and divide by 2.

Midpoint=鈭�3+52=22=1

03

Step-3. Write the equation.

Since, the midpoint of -3 and 5 is 1, that is, the distance from -3 to 1 is 4 units and the distance from 1 to 5 is also 4 units.

So, the absolute value equation will be: x鈭�1=4.

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