Funktioner Flashcards

1
Q

Definition of an even function.

A

f(-x) = f(x)

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2
Q

Definition of an odd function.

A

f(-x) = -f(x)

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3
Q

The quadratic formula

A

x = -B +- sqrt(B^2 - 4AC) / 2A

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4
Q

f is right continuous at c if ?

A

lim x->c+ f(x) = f(c)

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5
Q

f is left continuous at c if ?

A

lim x->c- f(x) = f(c)

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6
Q

Open interval = (a, b)

A

Exclusive point a & b.

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7
Q

Closed interval = [a, b]

A

Inclusive point a & b.

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8
Q

Linearization approximation of f about is the function L defined by … ?

A

L(x) = f(a) + f’(a)( x - a )

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9
Q

Taylor’s Formula = ?

A

Pn(x) = f(a) + f n:th D(a) / n! (x - a)^n

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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)

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