Class notes
Grade 12 Function paper 1
- Course
- Mathematics
- Institution
- 12th Grade
It teaches you about linear functions ,parabola, hyperbola and more and has exercises that have answers for you to practice on Leave a review please
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HOW I TEACH ITMATHEMATICS .
GRADE 12
FUNCTIONS,INVERSE AND LOGARITH
FUNCTIONS
FROM: NOMBUSO HIGH
BY Mr M SHABALALA
EMAIL ADDRESS: melulekishabalala@gmail.com CELLPHONE NUMBER: 073
,2. FORMAL DIFINITIONS 1. FUNCTIONS
Vertical line test Linear
One – to – one function Parabola
One – to – many function Hyperbola
Many- to- one function Exponential
FUNCTIONS,INVERSE AND
LOGARITHMS FUNCTIONS
4. LOGARITHMIC FUNCTIONS
3. INVERSE GRAPH Understanding of logarithmic fun
Notation
Restricting the domain Steps on how to sketch logarithmi
and range functions
, 1.SUMMARY
OF GRADE 11
FUNCTIONS
EMAIL ADDRESS: melulekishabalala@gmail.com CELLPHONE NUMBER: 073
, (A)LINEAR FUNCTION
FORM
o 𝒚 = 𝒎𝒙 + 𝒄
Where:
m is a gradient
c is y intercept
TO FIND GRADIENT (m)
𝒚 −𝒚
o 𝒎 = 𝒙𝟐−𝒙𝟏
𝟐 𝟏
INFORMATION FROM GRADIENT (m)
o m > 0 → straight line will be increasing ( / )
o m < 0 → straight line will be decreasing ( \ )
o m = 0 → straight line will be a horizontal line ( − )
(Distance between points can be found simple e.g distance AB = 𝑿𝒓𝒊𝒈𝒉𝒕 − 𝑿𝒍𝒆𝒇𝒕 )
o m = undefined → straight line will be vertical
(Distance between points can be found simple e.g distance AB = 𝒀𝒕𝒐𝒑 − 𝒀𝒃𝒐𝒕𝒕𝒐𝒎 )
o For parallel lines
𝒎𝟏 = 𝒎𝟐
.
o For perpendicular lines
𝒎𝟏 × 𝒎𝟐 = −𝟏
.
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