Friday, February 24, 2012

Remember that the absolute value of any quantity is positive. To solve an equation involving absolute value, remember to solve the positive case and the negative case. 

For example |x + 5| = 10,  the positive case is x + 5 = 10 and the negative case is x + 5 = -10. Therefore, the solutions are x = 5 or x = -15.

The graph of the function f(x) = |ax + b| where a and b are real numbers will always fall in the first and second quadrants since absolute value is always positive.

The graph of the function f(x) = c|ax + b| where a and b are real numbers and c is negative will be in the third and fourth quadrants.

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