03 Functions Flashcards
1
Q
Functions
Conditions
Existence of Function
A
Given f(x), line x = k where k ∈ Df should cut f(x) at 1 point only
2
Q
Functions
Conditions
One-One Function
A
Given f(x), line y = k where k ∈ Df at 1 point only
3
Q
Functions
Domain & Range
A
Df = x-values
Rf = y-values
D = domain
R = range
4
Q
Inverse Functions
Conditions
A
f(x) is a one-one function
5
Q
Inverse Functions
Domain & Range
A
Df-1 = Rf
Rf-1 = Df
f-1(x) = Inverse Function of f(x)
6
Q
Composite Functions
Conditions
A
Given gf(x), Rf ⊆ Dg
7
Q
Composite Functions
Domain & Range
A
Rgf ⊆ Rg
8
Q
Relationships
Domain of f(x) & f-1(x)
A
Df-1f = Df
Dff-1 = Df-1
9
Q
Relationships
Range of f(x) & f-1(x)
A
f-1f(x) = ff-1(x) = x
