Search results
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
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.
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.
On graphing piecewise functions To graph a piecewise function, it is a good idea to follow these steps. 1.Look at the inequalities rst. Draw a dotted vertical line for each of these values. 2.Marking lightly, graph all the functions which are given for f. 3.Looking back at the inequalities, darken in the functions between the vertical lines
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Piecewise Functions Name_____ Date_____ Period____-1-Sketch the graph of each function. 1) f (x) = { x , x x , x x y
Writing a Piecewise Function Write a piecewise function for the graph. SOLUTION Each “piece” of the function is linear. Left Piece When x < 0, the graph is the line given by y = x + 3. Right Piece When x ≥ 0, the graph is the line given by y = 2x − 1. So, a piecewise function for the graph is f(x) = { x + 3, 2x − 1, if x < 0. if x ≥ 0
Piecewise Functions. Period: _______. Evaluate the function for the given value of x. Match the piecewise function with its graph. Graph the function. 19.
