This is a comprehensive pack of notes about grade 9 functions. It teaches about the Cartesian plane, functions, straight line graphs, gradient, and graph interpretation. It contains notes, examples and particularly exercises with answers.
The Cartesian plane
Activity 1
your teachers help,label:
1.1 On the graph paper below, and with
The x-axis
The y-axis
The origin
The 1st, 2nd 3rd and 4th quadrants
The axes (accurately)from -4 to 4.
1.2 Plot the following points:
A(-2; 1)
B(-3; -2)
C(3; 3)
D(2; -2)
in the bracket separated
We call the pair of numbers (the two numbers
The coordinates define
by a semi-colon)the coordinates of the point.
the position of the point on the Cartesian Plane.
REMEMBER: x BEFORE y!
133 | P age
,Activity 2
Write down the coordinates of the points from A to L in the drawina below
10+ A(4; -)
B(-2, -2)
E"
El4,5;7)
"K D
c(6,4)
H(2,2)
4
3
3 (S,7)
2
K(2;s)
10 11
-2+
B
-3
4
Activity 3 following points. Label and number the
the graph paper below to plot the and see what picture is
Use in alphabetical order
axes first. Join the points
revealed.
A(-6; -3)
B(-3; -1)
C(2; 1)
D(5; -1)
E(5; -4)
F(6; 0)
G(3; 3)
H(4; 4)
I(5; 4)
J(3; 5)
K(2; 4)
L(0; 6)
M(-5; 5)
N(-1;5)
O(0; 3)
P(-3; 0)
Q(-7; -1)
R(-4; -1)
A(-6; -3)
134 | P age
, Functions
Afunction is a
relationship variables; x (the input value)and y (the
ouTpuT Value) where for egchbetween
two
innut value there is only one oupa
Consider the function: y= 2x+1
We can represent this as the flow diagram seen below:
INPUT VALUE (x) x 2 +1 OUTPUT VALUE (y)
We can also represent the function in a table format:
-3 -2 -1 1 2 3
-5 -3 -1 1 3 5 7
These values can also be representedas a araph if we plot the x and y
coordinate pairs.
Why is y = 2x + 1 an example of afunction?
hat core pords with
Why do you think the graph ends and starts with two arrows?
ynput cune culput vulues
What kind of function does the graph
represent?
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 EFT, 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 this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller sofiafrenchza. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R53,00. You're not tied to anything after your purchase.
