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Summary Functions - IEB Mathematics Core Grade 11-12

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High yield mathematics notes giving you all you need to know to ace your final papers - provides worked examples across all question difficulty levels as well as theory explanations for full rounded understanding. Key formulas and processes clearly indicated for quick reviews come exam time. Neatly laid out, digital, hand-written notes. Ensures base level understanding of functions - crucial for matric finals.

Content preview

hyperbola




:
straight line




is parabola
exponential




1
questions :




do know the equation
i.
you

What is it
2 .


graph

3.
Mg or
sg

, straight line


moctc
y
=




a




A-
drawing

mother graph shifted



write in form write in form
i.
y 1 .

y

in box in box
a
91 =
yes :
put equation a
91 =
yes :
put equation

line
3 .



92
=
straight line 3 .



92
=
straight

93 4 93 sg
=
4
mg
=
.
.




via below plot via below
5 plot graph
5
graph




don't find ints u

Find x -
int
w





passes through to :O) U .
find y -
int
w



w u



point plot one point .


plot 1- draw




example example

f- ( x) (D) =
3×1-6
-20C
g.
=




3×1-6
y=
y=
y
-23C



↳ (
0,0 ) x.int : 3×+6=0 equate equation to 0



↳ (I -
2) D= -2
;



y 1-2 :o)
n y
f -
y.int : to :b ) y= loose number
r



-




1 I
O• 1 I > × µ 1

,



-
• 6


(t; -

2)
-
z - • -




]
A
write points that -




don't intercept
the axis
> X
1 1
72 0
I 1 ,



L
-




he




-

, a




horizontal vertical
graphs graph

no coordinate
given no
y coordinate
given
.

x - -




gradient undefined
gradient 0

= . =




example example
✗ =-3
y= 2
,




^


y
,

2

>




• >
0
-3


73C




equation forms


mothegraph

y=mx




Shifted
graphs
shifted up / down shifted left / right shifted up / down + left / right

y=mCx p) y=mCx p )tq
y=mxtc
- -

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