QUESTION 1 Check all statements that are true. If p is a polynomial of degree n, and q is a polynomial of degree m, and n-m, then p is of order q. All power functions f(x)=x", where n is a real constant, are O(ex). The triangle inequality is the most common algebraic tool for rigorously proving order relationships. f(x)=sin(x) is of order 1. There is a "largest order", i.e. there is some function g so that all other functions f are O(g). The triangle inequality says that for all real numbers and b. la + bl
QUESTION 1 Check all statements that are true. If p is a polynomial of degree n, and q is a polynomial of degree m, and n-m, then p is of order q. All power functions f(x)=x", where n is a real constant, are O(ex). The triangle inequality is the most common algebraic tool for rigorously proving order relationships. f(x)=sin(x) is of order 1. There is a "largest order", i.e. there is some function g so that all other functions f are O(g). The triangle inequality says that for all real numbers and b. la + bl
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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![need helping understanding
this concept
And why each statement is false or true
QUESTION 1
Check all statements that are true.
If p is a polynomial of degree n, and q is a polynomial of degree m, and n=m, then p is of order q.
All power functions f(x)=x", where n is a real constant, are O(e*).
The triangle inequality is the most common algebraic tool for rigorously proving order relationships.
f(x)=sin(x) is of order 1.
There is a "largest order", i.e. there is some function g so that all other functions f are O(g).
The triangle inequality says that for all real numbers and b. la + bl<lal + lbl
If a and b are two positive numbers, then the following is true:
a* is of order b* exactly when a and b are equal.
axis O(b*) exactly when a<b.
a is 2(b) exactly when a>b.
f(x)=x is
:O(x²)
If two functions are of order g, then so is their sum.
f(x)
Iff and g are functions defined for all positive real numbers and if lim
= C where C is a positive constant, then f is of order g.
x →∞ g(x)
f(x)-5x is of order 3x.
f(x)=x is (√√x)
If p is a polynomial of degree n, and q is a polynomial of degree m, and n<m, then p is O(q).
If two functions are O(g), then so is their sum.
0
0 0
00
hand written plz
i need 4th statment
only plzz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5de48d33-e3a2-4daf-b90d-11b7c65a56d3%2F8a85d75a-62d7-40db-ae40-d49bc7aee03b%2Fc51xdam_processed.jpeg&w=3840&q=75)
Transcribed Image Text:need helping understanding
this concept
And why each statement is false or true
QUESTION 1
Check all statements that are true.
If p is a polynomial of degree n, and q is a polynomial of degree m, and n=m, then p is of order q.
All power functions f(x)=x", where n is a real constant, are O(e*).
The triangle inequality is the most common algebraic tool for rigorously proving order relationships.
f(x)=sin(x) is of order 1.
There is a "largest order", i.e. there is some function g so that all other functions f are O(g).
The triangle inequality says that for all real numbers and b. la + bl<lal + lbl
If a and b are two positive numbers, then the following is true:
a* is of order b* exactly when a and b are equal.
axis O(b*) exactly when a<b.
a is 2(b) exactly when a>b.
f(x)=x is
:O(x²)
If two functions are of order g, then so is their sum.
f(x)
Iff and g are functions defined for all positive real numbers and if lim
= C where C is a positive constant, then f is of order g.
x →∞ g(x)
f(x)-5x is of order 3x.
f(x)=x is (√√x)
If p is a polynomial of degree n, and q is a polynomial of degree m, and n<m, then p is O(q).
If two functions are O(g), then so is their sum.
0
0 0
00
hand written plz
i need 4th statment
only plzz
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