Piecewise Function Word Problems Real Life Examples Pdf EXAMPLE 1 Evaluating a Piecewise Function Evaluate x when a x 0 b x 2 and c x 4 x 2 x 2x 1 if x lt 2 if x 2 SOLUTION a x x 2 Because 0 lt 2 use first equation 0 0 2 2 Substitute 0 for x b x 2x 1 Because 2 2 use second equation 2 2 2 1 5 Substitute 2 for x
Evaluate the function for the given value of x Match the piecewise function with its graph Write the answer next to the problem number F IF C 7 Graphing Piecewise Defined Functions www jmap 3 7 Graph the function h x 2x 3 x lt 0 x2 4x 5 0 x 5 8 The function g is defined as g x x 3 x lt 2 x2 1 2 x 2 On the set of axes below graph g x 9 At an office supply store if a customer purchases
Piecewise Function Word Problems Real Life Examples Pdf
Piecewise Function Word Problems Real Life Examples Pdf
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A Write a piecewise function that relates the salesperson total monthly income based off or his her sales for the month b Sketch an accurate graph of this piecewise function c Determine the salesperson s monthly income if his her sales were 43 000 for the month 2
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Piecewise Function Word Problems Real Life Examples Pdf
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3 3 Piecewise Functions 1 Use the piecewise function to evaluate the following 3 2 lt 3 2 2 3 3 lt 6 8 1 gt 6 2 Graph the following piecewise function 1 3 2 0 2 1 gt 0
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You have a summer job that pays time and half for overtime That means if you work more than 40 hours in a week your hourly wage for the extra hours in 1 5 times your normal rate of 7 per hour Write a piecewise function describing your weekly pay
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A certain county has a tax code where 10 tax is paid on all income up to the rst 10 000 a 15 tax is paid for any income over 10 000 and up to 15 000 and a tax rate of 25 is paid on all income over 25 000 Find a piecewise function to calculate the total tax T x on an income of x dollars Solution
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Piecewise functions word problems Free download as PDF File pdf or read online for free
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A piecewise function is a function defi ned by two or more equations Each piece of the function applies to a different part of its domain An example is shown below
O o o o o o o o 2 o o o o o n o o n o o o o o o cr s o o o o n o tri O Created Date 9 18 2018 2 31 30 PM In Punta Isla Lake Resort a boat ride cost P500 00 intended for 15 passengers only Additional passengers are charged P50 00 per head Use a piece wise function to represent the boat ride fare Let x be the cost of the boat ride 500 0 lt x 15 f x 500 50 x 15 x gt 15
Piecewise Functions WS Evaluate the function for the given value of x Match the piecewise function with its graph Carefully graph each of the following Identify whether or not he graph is a function Then evaluate the graph at any specified domain value