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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 23E
Related questions
Question
![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:
axis of order b* exactly when a and b are equal.
axis O(b*) exactly when a<b.
a is (b*) exactly when a>b.
f(x)=x is
: 0(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
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
= C where C is a positive constant, then f is of order g.
hand written plz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad876afc-951e-42d1-bd38-58b34173bdc0%2F80ed469f-401b-4ab7-a376-ba9cb23664ea%2Fnqxeo3_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:
axis of order b* exactly when a and b are equal.
axis O(b*) exactly when a<b.
a is (b*) exactly when a>b.
f(x)=x is
: 0(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
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
= C where C is a positive constant, then f is of order g.
hand written plz
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