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MAT 150 – Algebra Class #10

MAT 150 – Algebra Class #10. Topics: Evaluate and graph piecewise-defined functions Graph absolute functions Solve absolute value equations. Piecewise-Defined Functions.

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MAT 150 – Algebra Class #10

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  1. MAT 150 – AlgebraClass #10 Topics: Evaluate and graph piecewise-defined functions Graph absolute functions Solve absolute value equations

  2. Piecewise-Defined Functions • Some data cannot be modeled with a single equation. We then use what is called a piecewise-defined function to represent the situation. A piecewise-defined function is so named because it is defined with different pieces for different parts of its domain rather than one equation.

  3. Evaluating and Graphing a Piecewise-Defined Function • Evaluate f(-2), f(-1) and f(.5) • Graph the given piecewise-defined function.

  4. Creating a Piecewise-Defined Function Questions Write the piece-wise defined function T with input x that models the federal tax dollars owed as a p function of x, the taxable income dollars earned, with 0 < x < 137,300. Use the function to find T(42,000). Find the tax owed on a taxable income of $65, 000. A friend tells Jack Waddell not to earn anything over $68,000 because it would raise his tax rate to %25 on all of his taxable income. Test this statement by finding the tax on $68,000 and $68,000 + $1. What do you conclude? The 2010 U.S. federal income tax owed by a marred couple filing jointly can be found from the following table.

  5. Solving Absolute Value Equations Absolute value function is a piecewise-defined function. The absolute value of a number is never negative, we cannot solve |x| = a if a is negative.

  6. Solving Absolute Values Solve the following equations:

  7. Assignment Pg. 209-212 #10&11 #14 #19-21 all #34-35 #43, 45, 48,

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