functions Flashcards
x values
domain
y values
range
one-to-one function
if every element is mapped onto exactly one element in the range
many to one function
if every element in the domain is mapped onto exactly one element in the range, but some elements in the range arise from more than one element in the domain
range of f(X)=
domain of f-1(x)
domain of f(x)=
range of f-1(X)
constant
vertex x value
2/x +3/x=
5/x
when you have a fraction in a fraction
multiply the denominator with the numerator
y>2 wrong
f(X)>2 correct
tangent
1 intersection so b^2-4ac=0
only one to one
has inverse
one to many
not function
many to one
does not have an inverse
if they say xER
range is from vertex
stationary point
vertex
when asking for line of symetry
draw the graph
when the vertex is written they ask for a range
use vertex y value as a lower bound
translation
reflection
stretch
order of transformation
2 horizontal - opp bodmas
H+V - Dosent matter
2 Vertical- bodmas
why ff cant be formed
because the range of f does not include the domain of f
When solving always check
Domain
If a function has 1- something
M<f(x)<1
x>0.5 x<0.5
X note equal to 0.5
Reflection
F(-x) reflection in y axis
-f(x) reflection in x axis
