1. Find the domain of the following functions. Decide if the graph of y = f(x) is even or odd. (a) f(x) = x +4 , (b) g(x) = √√x, (c) h(x) = √x for x ≥ 0 -√√x for x < 0 " and (d) j(x) = x sin(x).

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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1. Find the domain of the following functions. Decide if the graph of y
=
(a) f(x)
=
X
x +4
(b) g(x) =
√√x, (c) h(x)
√x for x ≥ 0
-√√x for x < 0
f(x) is even or odd.
and (d) j(x)
=
x sin(x).
Transcribed Image Text:1. Find the domain of the following functions. Decide if the graph of y = (a) f(x) = X x +4 (b) g(x) = √√x, (c) h(x) √x for x ≥ 0 -√√x for x < 0 f(x) is even or odd. and (d) j(x) = x sin(x).
Expert Solution
Step 1

Domain: The set of all those values of x such that function f(x) exists at those points.A function is said to be even if f(-x)=f(x)  and odd if f(-x)=-f(x).As per bertleby guideline I have to solve only first three subparts. For answer to other question please resubmitthe question.

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