Functions

Question 1

even function

Answer 1

f(x) = f(-x)

Question 2

odd function

Answer 2

f(x) = -f(-x)

Question 3

domain of root(sin(x))

Answer 3

[0, pie] u [2kpie, (2k + 1)pie]

Question 4

what is function composition

Answer 4

takes 2 functions & produces a new one
- f(x) and g(x), h(x) = f(g(x))

Question 5

limits x -> x-0

Answer 5

meaning x approaches x0 from the left: x < x0

Question 6

limits x -> x+0

Answer 6

meaning x approaches x0 from the right: x > x0

Question 7

function continuity

Answer 7

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)

Question 8

what a discontinuous function

Answer 8

if continuous function is not met we say the function is discontinuous at x=x0

Question 9

3 types of discontinuity

Answer 9

1. removable
2. jump
3. essential - neither the left or right limit exists

Question 10

lim((n^2 - 5)/(2n^2 + n)

Answer 10

1/2

Question 11

lim((sin(x/3))/x) where x -> 0

Answer 11

1/3