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Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue, Cost, and Profit Solving Linear Equations Solve Real-World Application Solve Literal Equations Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue, Cost, and Profit Solving Linear Equations Solve Real-World Application Solve Literal Equations
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Intercepts are points that cross the x-axis and the y-axis. To Find the y-intercept: Let x = 0 and solve for y To Find the x-intercept: Let y = 0 and solve for x Example: Find the x-intercept and y-intercept of the graph 4x-12y =22
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Find the slope of each: A.(-3, 2) and (5, -4) B.(8, -3) and (7, -4)
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Match each equation with the possible slope: A.y = 2x + 3 B.y = 5 C.x = 2 D.y = - 2x + 5 Match each equation with the possible slope: A.y = 2x + 3 B.y = 5 C.x = 2 D.y = - 2x + 5
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Constant FunctionIdentity Function y = b, where b is a real number y = x
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Apple manufactures a 16GB Wi-Fi-only iPad 3 and sells them for $499. The cost incurred in the production and sale of the iPad are $500,000 * plus $316 ** for each iPad produced and sold. Write the profit function for the production and sale of x iPads. *Yeah….I made this up. ** According to http://www.ijailbreak.com/ipad/how-much-does-new-ipad-cost-to-make
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Simplify o Get rid of parenthesis. Multiply ALL terms by the lowest common denominator. Continue Simplifying o Combine like terms on either side of the equal sign. If there is more than one x left, get rid of one of them. Follow SADMEP Simplify o Get rid of parenthesis. Multiply ALL terms by the lowest common denominator. Continue Simplifying o Combine like terms on either side of the equal sign. If there is more than one x left, get rid of one of them. Follow SADMEP
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4.3 Due Thursday Quiz Friday In-Class 1.3/2.1(todays) Due Next Tuesday
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