Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 96E
Related questions
Question
20 21 and 22
![8:15
DOMAIN AND RANGE
Domain - All x values for which a function is defined (input values)
Range - Possible y or Output values
EXAMPLE 1
Find Domain & Range of gox),
domain is the set of inputs
of the function
s run along the horisontal axis.
The furthest left hout valve associated with a pt. on the
graph 18 -3. The furthest right light values associated
withaph on the go is 3.
So Dunais G-BIR], that is all meals from -8 to 8.
The range represents the setst output valves for the
function. Output valves run along the vertical axis.
The lowest output relive of the function is-2. The
highest is 1. so the range is [-2.1], all reals
From 2 to 1
21. f(x)=-3 sinx
EXAMPLE 2
Find the domain and range of f(x)=√√4-x²
Write answers in interval notation.
DOMAIN
For f(x) to be defined 4-x² 20.
This is true when -2≤x≤2
Domain: [-2,2]
RANGE
The solution to a square root must always be
positive thus f(x) must be greater than or equal
to 0.
Range: [0,00)
Find the domain and range of each function. Write your answer in INTERVAL notation.
19. f(x)=x²-5
20. f(x)=-√√x+3
22. f(x)=
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d3d0313-ca74-43cf-98c7-55eac5c05caf%2F1802b0a6-9edf-42cc-a67a-923fed79798a%2Fi0gcnsf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8:15
DOMAIN AND RANGE
Domain - All x values for which a function is defined (input values)
Range - Possible y or Output values
EXAMPLE 1
Find Domain & Range of gox),
domain is the set of inputs
of the function
s run along the horisontal axis.
The furthest left hout valve associated with a pt. on the
graph 18 -3. The furthest right light values associated
withaph on the go is 3.
So Dunais G-BIR], that is all meals from -8 to 8.
The range represents the setst output valves for the
function. Output valves run along the vertical axis.
The lowest output relive of the function is-2. The
highest is 1. so the range is [-2.1], all reals
From 2 to 1
21. f(x)=-3 sinx
EXAMPLE 2
Find the domain and range of f(x)=√√4-x²
Write answers in interval notation.
DOMAIN
For f(x) to be defined 4-x² 20.
This is true when -2≤x≤2
Domain: [-2,2]
RANGE
The solution to a square root must always be
positive thus f(x) must be greater than or equal
to 0.
Range: [0,00)
Find the domain and range of each function. Write your answer in INTERVAL notation.
19. f(x)=x²-5
20. f(x)=-√√x+3
22. f(x)=
X
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