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In this lesson we’ll be covering how to set-up piecewise defined functions based on story problems. Keep in mind that each piece of a piecewise defined function has its own domain, so we’ll also have to set-up an interval for each piece, just like the sample piecewise function given below:
Unit 1: Piecewise Functions. Objective 2.02 Use piece-wise defined functions to model and solve problems; justify results. a) Solve using tables, graphs and algebraic properties. b) Interpret the constants, coefficients, and bases in context of the problem. DAY.
3.3 Piecewise Functions . 1. Use the piecewise function to evaluate the following. 𝑓(𝑥) = 3 𝑥−2, 𝑥< −3 2𝑥. 2. −3𝑥, −3 < 𝑥≤6 8, 1 𝑥> 6. 2. Graph the following piecewise function. 𝑓(𝑥) = − 1 3 𝑥−2, 𝑥≤0 2 𝑥+ 1, 𝑥> 0
20 sty 2022 · Graph each formula of the piecewise function over its corresponding domain. Use the same scale for the x-axis and y-axis for each graph. Indicate inclusive endpoints with a solid circle and exclusive endpoints with an open circle.
piecewise_functions_word_problems - Free download as PDF File (.pdf) or read online for free.
Evaluate the function for the given value of x. Match the piecewise function with its graph. Write the answer next to the problem number.
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.
