precalculus
basic rules of functions
basic rules of functions
Kartei Details
| Karten | 47 |
|---|---|
| Sprache | English |
| Kategorie | Mathematik |
| Stufe | Mittelschule |
| Erstellt / Aktualisiert | 29.09.2021 / 18.04.2022 |
| Weblink |
https://card2brain.ch/box/20210929_precalculus
|
| Einbinden |
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LINEAR FUNCTION
f(x)=mx+b
g(x)=f(x+m)
SHIFT LEFT by m
g(x)=f(x-m)
SHIFT RIGHT by m
g(x)=f(x)+m
SHIFT UP by m
g(x)=f(x)-n
SHIFT DOWN by m
g(x)=m*f(x)
STRETCH VERTICALLY by m
g(x)=f(m*x)
COMPRESS HORIZONTALLY by 1/m
g(x)=f(m*x), m<1
STRETCH HORIZONTALLY
g(x)=f(x)*m, m<1
COMPRESS VERTICALLY
g(x)= -(f(x))
REFLECTION ACROSS X AXIS
up becomes down and vice versa
g(x)=f(-x)
REFLECTION ACROSS Y AXIS
left becomes right and vice versa
f(x)=mx+b
LINEAR FUNCTION
Linear Function
f(x)=mx+b
N
THE SET OF ALL NATURAL NUMBERS
{1,2,3,4,...}
.
THE SET OF WHOLE NUMBERS
{0,1,2,3,4,...}
Z
THE SET OF INTERGERS
{...,-2,-1,0,1,2,...}
Q
THE SET OF RATIONAL NUMBERS
{p/q: p and q are integers, q does not equal 0}
I
THE SET OF IRRATIONAL NUMBERS
{x: x cannot be expressed as a ratio of 2 integers}
R=?U?
R=QUI
THE SET OF ALL REAL NUMBERS
.
empty set {}
Q intersection I=?
empty set {}
.
A BELONGS TO SET B
.
A IS NOT IN SET B
.
INCLUSION
A IS A SUBSET OF B
all elements of A are in B
.
INTERSECTION
THE SET OF ELEMENTS IN BOTH A AND B
{x: x€A and x€B}
the overlap of elements from A and B
AUB
UNION
THE SET OF ALL ELEMENTS FROM BOTH A AND B
{x: x€A OR x€B}
what is this called?
THE DOMAIN
what is this called?
THE RANGE
what toolkit function is this?
CUBE ROOT
f(x)=cube root of x
what toolkit function is this?
SQUARE ROOT
f(x)=square root of x
x >= 0
what toolkit function is this?
RECIPROCAL SQUARED
f(x)=1/(x squared)
what toolkit function is this?
RECIPROCAL
f(x)=1/x
what toolkit function is this?
CUBIC
f(x)=x cubed
what toolkit function is this?
QUADRATIC
f(x)=x squared
what toolkit function is this?
ABSOLUTE VALUE
f(x)=|x|
what toolkit function is this?
IDENTITY
f(x)=x
what toolkit function is this?
CONSTANT
f(x)=c
c is constant
?
YES
PASSES THE VERTICAL LINE TEST
?
NO
FAILS THE VERTICAL LINE TEST
what's this called?
4th QUADRANT
