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Summary Graph basics
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This summary covers the basics of graphs, the different notations they can be in, how to test for functions as well as how to test if functions are increasing and decreasing. it also covers the straight line in depth; what is standard form, how to calculate the slope and what parallel and perpendi...

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  • July 1, 2021
  • 1
  • 2020/2021
  • Summary

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angeliquevanheerden

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Parabola Hyperbola Basics
2
y = ax + bx + c xy = a / y = a - Relationship between x and y
* Continuous
x - f(x) = y f is the name of the graph
* Has a turning point (TP), that is also a - Ordered number pairs : (x;y)
* Discrete - in 2 separate quadrants
symmetry axis * Notations
* Has asymptotes (line the graph nears
* a = “emotion” - Normal : f : y = 2x + 3 , x R
but never intersects)
- Functional: f(x) = 2x + 3 , x R
* Use table method to
- Choice/Builder: {(x;y) I y = 2x + 3, x R}
draw
* Test for functions:
- Vertical line test: move pen vertically across
Double intercept : graph from left to right. One intersection = Function =



GRAPHS
1. Calculate the x and y intercepts There is only one y value for every x value
2. Plot on Cartesian plane and connect
y-intercept (x=0)
y = 2x + 1 Function Not a function


x-intercept (y=0)



Gradient / Slope * Test for increasing and decreasing:
- Follow graph with pen from left to right
* Change in y over the

Straight line
Pen moves down =

change in x Decreasing


* = Increasing
Pen moves up =

* = Decreasing Increasing



If no method is * Parallel :
How to draw : mentioned, use * Perpendicular : * Restrictions : Values for x and or y that will result in
drawing method you
* Lines with no gradient: an undefined answer.
Y = MX + C
are most comfortable
with Eg.
Table method :
1. Choose a couple of + and - values for x to sub into y = 2x + 1

the equation and find corresponding y values Y-intercept
Where the graph intersects the y-axis
2. Plot the points on Cartesian plane and connect.

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