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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. Interval Notation: Parenthesis, brackets or a combination of both.
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.
Solution. For 1., looking at the graph, we see that x 3 is the domain for 3 2x: We include 3 since the circle is lled in. For 2., the domain is x < 3: In interval notation, these would be ( 3; 1) and (1 ; 3); respectively. For 3., place your pencil on the graph horizontally.
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:
piecewise_functions_word_problems - Free download as PDF File (.pdf) or read online for free.
Piecewise Functions Rules and Examples. Graphs of Piecewise Functions. Absolute Value and Transformations of Piecewise Functions.
