2) If p is a polynomial of degree n, and q is a polynomial of degree m, and n=m,
ID: 3873602 • Letter: 2
Question
2) 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.
3) There is a "largest order", i.e. there is some function g so that all other functions f are O(g).
5) f(x) = sin(x) is of order 1.
6)If p is a polynomial of degree n, and q is a polynomial of degree m, and n<m, then p is O(q).
8) If two functions are of order g, then so is their sum.
9) The triangle inequality is the most common algebraic tool for rigorously proving order relationships.
If two functions are O(g), then so is their sum.
f(x)=5x is of order 3x.
WHich ones are ture? I have as true, 5,6,7,8,9,10, and 14 but not sure if they are correct?
1) The triangle inequality says that for all real numbers and b,
2) 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.
3) There is a "largest order", i.e. there is some function g so that all other functions f are O(g).
4) If a and b are two positive numbers, then the following is true:
is of order exactly when a and b are equal.
is exactly when a<b.
is exactly when a>b.
5) f(x) = sin(x) is of order 1.
6)If p is a polynomial of degree n, and q is a polynomial of degree m, and n<m, then p is O(q).
7) If f and g are functions defined for all positive real numbers and if where C is a positive constant, then f is of order g.
8) If two functions are of order g, then so is their sum.
9) The triangle inequality is the most common algebraic tool for rigorously proving order relationships.
10)f(x)=x is
11)If two functions are O(g), then so is their sum.
12)f(x)=x is
13)All power functions , where n is a real constant, are .
14)f(x)=5x is of order 3x.
WHich ones are ture? I have as true, 5,6,7,8,9,10, and 14 but not sure if they are correct?
Explanation / Answer
1 is correct
2 is correct
3 is correct
4 is correct
5 is incorrect
6 is correct
7 is incorrect
8 is correct
9 is incorrect
10 is correct
11 is correct
12 is correct
13 is correct
14 is correct
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