Piecewise Functions: When a function is defined by different equations on different parts of its domain, it is called a piecewise-defined function. 6. Consider the piecewise function: f(x): = √x+2 √x² - 1 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Piecewise Functions: When a function is defined by different equations on different parts of its
domain, it is called a piecewise-defined function.
6. Consider the piecewise function: f(x):
=
√x+2
√x² - 1
1<x<6
x ≤1
a) What is the domain of this function?
b) What is f(0), f(1), f(−2), f(2), f(5). Is it possible to find f(7)?
c) Sketch a graph of the piecewise function.
Transcribed Image Text:Piecewise Functions: When a function is defined by different equations on different parts of its domain, it is called a piecewise-defined function. 6. Consider the piecewise function: f(x): = √x+2 √x² - 1 1<x<6 x ≤1 a) What is the domain of this function? b) What is f(0), f(1), f(−2), f(2), f(5). Is it possible to find f(7)? c) Sketch a graph of the piecewise function.
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