IB DP Maths: AI HL复习笔记2.2.3 Properties of Graphs
Quadratic Functions & Graphs
What are the key features of quadratic graphs?
-
If a is positive then the vertex is the minimum point- If a is negative then the vertex is the maximum point
Exam Tip
- Use your GDC to find the roots and the turning point of a quadratic function
- You do not need to factorise or complete the square
- It is good exam technique to sketch the graph from your GDC as part of your working
Worked Example
Cubic Functions & Graphs
What are the key features of cubic graphs?
Exam Tip
Worked Example
Exponential Functions & Graphs
What are the key features of exponential graphs?
Exam Tip
Worked Example
Sinusoidal Functions & Graphs
What are the key features of sinusoidal graphs?
Exam Tip
- Make sure your angle setting is in the correct mode (degrees or radians) at the start of a question involving sinusoidal functions
- Pay careful attention to the angles between which you are required to use or draw/sketch a sinusoidal graph
- e.g. 0° ≤ x ≤ 360°
Worked Example
b)State the equation of the principal axis of the curve.
c)State the period and amplitude.
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