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
, (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
.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller BookSquad. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £2.26. You're not tied to anything after your purchase.