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3.3 Piecewise Functions Use the piecewise function to evaluate the following. 1. 𝑓(𝑥) = −2𝑥2−1, 𝑥 𝑥≤2 4 5 𝑥−4, 𝑥> 2 2. 𝑓(𝑥) = 3 −7 𝑥, ≤ 3 8, −3 < 𝑥≤3 √2𝑥+ 3, 𝑥> 3 𝑎. 𝑓(0) =
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.
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: :𝑥 ;= { 𝑥 ; 𝑥≤
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.
Evaluate the function for the given value of x. Match the piecewise function with its graph. Write the answer next to the problem number.
piecewise_functions_word_problems - Free download as PDF File (.pdf) or read online for free.
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, P in term of the number of hours worked, h.
