Funktioner Flashcards
1
Q
Definition of an even function.
A
f(-x) = f(x)
2
Q
Definition of an odd function.
A
f(-x) = -f(x)
3
Q
The quadratic formula
A
x = -B +- sqrt(B^2 - 4AC) / 2A
4
Q
f is right continuous at c if ?
A
lim x->c+ f(x) = f(c)
5
Q
f is left continuous at c if ?
A
lim x->c- f(x) = f(c)
6
Q
Open interval = (a, b)
A
Exclusive point a & b.
7
Q
Closed interval = [a, b]
A
Inclusive point a & b.
8
Q
Linearization approximation of f about is the function L defined by … ?
A
L(x) = f(a) + f’(a)( x - a )
9
Q
Taylor’s Formula = ?
A
Pn(x) = f(a) + f n:th D(a) / n! (x - a)^n
10
Q
What is the error term called in Taylor’s formula?
A
LaGrange remainder. f(n + 1)(s) / (n + 1) ( x - a )^(n + 1)