Functions Flashcards
Week 2.2 (11 cards)
1
Q
even function
A
f(x) = f(-x)
2
Q
odd function
A
f(x) = -f(-x)
3
Q
domain of root(sin(x))
A
[0, pie] u [2kpie, (2k + 1)pie]
4
Q
what is function composition
A
takes 2 functions & produces a new one
- f(x) and g(x), h(x) = f(g(x))
5
Q
limits x -> x-0
A
meaning x approaches x0 from the left: x < x0
6
Q
limits x -> x+0
A
meaning x approaches x0 from the right: x > x0
7
Q
function continuity
A
a function is continuous at a point x0 if lim(f(x)) where x -> x-0 = lim(f(x) where x -> x-0 = f(x0)
8
Q
what a discontinuous function
A
if continuous function is not met we say the function is discontinuous at x=x0
9
Q
3 types of discontinuouty
A
- removable
- jump
- essential - neither the left or right limit exists
10
Q
lim((n^2 - 5)/(2n^2 + n)
A
1/2
11
Q
lim((sin(x/3))/x) where x -> 0
A
1/3
