Homework Help is Here – Start Your Trial Now!
Math
Calculus
A) S(x)=- у-аxis 4. 3. X-axis .6 -5 4 3 -2 -1 4. -2 -3 -n of unis O fx)= *-2x-3 x-2 у-аxis 64 х-аxis -6 -54 -2 -1 21 3 4 5 6 -2 -3 .4 -5

A) S(x)=- у-аxis 4. 3. X-axis .6 -5 4 3 -2 -1 4. -2 -3 -n of unis O fx)= *-2x-3 x-2 у-аxis 64 х-аxis -6 -54 -2 -1 21 3 4 5 6 -2 -3 .4 -5

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
I don’t know how to graph this. I also need help finding domain and range in interval notation.
A) S(x)= у-аxis 4 X-axis -6 -5 .4 -2 -1 6. -2 -3 -5 -5 of units x²-2x-3 B) f(x)=: x-2 у-аxis 64 х-ахis -6 -5-4 -3 -2 -1 21 3 4. 6. -2 -3 -5
Transcribed Image Text:A) S(x)= у-аxis 4 X-axis -6 -5 .4 -2 -1 6. -2 -3 -5 -5 of units x²-2x-3 B) f(x)=: x-2 у-аxis 64 х-ахis -6 -5-4 -3 -2 -1 21 3 4. 6. -2 -3 -5
x-4x+3 C) f(x)=- x'-1 у-аxis 64 3. 1. X-axis -6-5 -4-3 -2 -1 2 3 6 -2 -3 -5
Transcribed Image Text:x-4x+3 C) f(x)=- x'-1 у-аxis 64 3. 1. X-axis -6-5 -4-3 -2 -1 2 3 6 -2 -3 -5
Expert Solution
Step 1

Given the two functions:

1. f(x)=x-2x2-12.f(x)=x2-2x-3x-2

We need to sketch the graph and find the domain and range for the given function in the interval notation.

 

Step 2

i) f(x)=x-2x2-1

let us tabulate the table for various values of x for the given function.

Calculus homework question answer, step 2, image 1

Now let us plot the graph for the above tabular column.

Calculus homework question answer, step 2, image 2

Now let us find the domain and range for the given function.

Domain of the function is set of input values for which function is real and defined.

Since the given function is rational function , the denominator should not be 0.

for denominator not be 0,x2-1=0x2=1x=±1

So at x=1 or x=-1 the given function is not defined.

hence the domain of the given function is x∈(-∞,-1)∪(-1,1)∪(1,∞)

Range is set of values of y for which the function is defined.

So the y is not defined for the following values

y=-32+1 and y=32+1So y∈(-∞,-32+1)∪(32+1,∞)

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS