Summary
Samenvatting Algebra en Functiebgrip
- Course
- Institution
- Book
Korte maar krachtige samenvatting van de basis van de wiskunde, compleet en zonder dubbelingen.
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
MAT1512 - Exam Questions PACK (2010-2022)
-
Mathematics 144 Summaries
Seller
Follow
PAJZ
Reviews received
Content preview
1. Tips2. Lineair
3. Parabool
4. Hyperbool
5. Goniometrie
5.1. Sinusoïde
5.2. Inversen
6. Logaritmen en machten
6.1. Logpapier
6.2. Exponentiële functie
7. Limieten
8. Combinaties
9. Transformaties van f(x) naar g(x)
10. Symmetrie
1/5 © Peter Zomerdijk
, 1. Tips
• indien er meerdere oplossingen zijn controleer ze dan allemaal op geldigheid door ze in te
voeren in de oorspronkelijke vergelijking
2 1 3
− √x
• geen negatieve waarden en geen breuken in de exponenten :x 3 = x3 · x −1 =
x
1 √2
• vereenvoudig wortels zo ver mogelijk en geen wortel in de noemer : =
√18 6
2. Lineair
b
f(x) = ax + b snijpunt y–as: (0, b) snijpunt x–as: (− a , 0)
3. Parabool
f(x) = a (x + b)2 + c : te verkrijgen door kwadraat afsplitsen
• als a > 0 : dal, anders berg
• symmetrie–as : x = −b
• top : (−b, c)
4. Hyperbool
ax+b
f(x) =
cx+d
b
a+ a
x
• horizontale asymptoot : teller en noemer delen door x: lim =
x→∞ c+d c
x
d
• verticale asymptoot : niet mogelijk: cx + d = 0 ⇔ x = −
c
5. Goniometrie
π
• graden · = radialen
180
a b c
• = sin β = sin γ hoeken α, β en γ liggen tegenover zijdes a, b en c
sin ∝
• cosinusregel : a2 = b2 + c 2 − 2bc cos ∝
π π
• sin (x) = – sin (– x) = cos (x − 2 ) = − cos (x + 2 )
π π
• cos (x) = cos (– x) = sin (x + 2 ) = − sin (x − 2 )
• tan (x) = – tan (– x)
• sin (x) = sin (y) ⟺ x = y + 2kπ ꓦ x = π ‒ y + 2kπ *)
• cos (x) = cos (y) ⟺ x = y + 2kπ ꓦ x = − y + 2kπ *)
*) als een domein is gegeven benoem dan alle oplossingen in dat domein
2/5 © Peter Zomerdijk
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 or Stuvia-credit 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 PAJZ. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.21. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
52928 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now