翰林提供学术活动、国际课程、科研项目一站式留学背景提升服务!
400 888 0080
首页
国际课程
A-Level课程
IB课程
AP课程
IGCSE课程
美高课程
国际竞赛
理科竞赛
STEM竞赛
商科竞赛
文科竞赛
丘成桐中学科学奖
热门资讯
学校动态
赛事动态
课程动态
学员奖项
2024-至今年度奖项
2022-2023年度奖项
2020-2021年度奖项
真题资料
联系我们
翰林导师
加入我们
商务合作
Home
»
国际课程
»
IB课程
»
Details
IB DP Maths: AA SL复习笔记2.3.3 Graphing Functions
Category:
IB课程
,
教材笔记
,
福利干货
Date: 2022年7月15日 下午5:32
Graphing Functions
How do I graph the function
y
=
f
(
x
)?
What is the difference between “draw” and “sketch”?
If asked to sketch you should:
Show the general shape
Label any key points such as the intersections with the axes
Label the axes
If asked to draw you should:
Use a pencil and ruler
Draw to scale
Plot any points
accurately
Join points with a straight line or smooth curve
Label any key points such as the intersections with the axes
Label the axes
How can my G
DC
help me sketch/draw a graph?
You use your GDC to plot the graph
Check the scales on the graph to make sure you see the full shape
Use your GDC to find any key points
Use your GDC to check specific points to help you plot the graph
Key Features of Graphs
What are the key features of graphs?
You should be familiar with the following key features and know how to use your GDC to find them
Local minimums/maximums
These are points where the graph has a minimum/maximum for a small region
They are also called
turning points
A graph can have multiple local minimums/maximums
A local minimum/maximum is not necessarily the minimum/maximum of the whole graph
This would be called the
global
minimum/maximum
For quadratic graphs the minimum/maximum is called the
vertex
Intercepts
y
– intercepts are where the graph crosses the
y
-axis
At these points
x
= 0
x
– intercepts are where the graph crosses the
x
-axis
At these points
y
= 0
These points are also called the
zeros of the function
or
roots of the equation
Symmetry
Some graphs have lines of symmetry
A quadratic will have a vertical line of symmetry
Asymptotes
These are lines which the graph will get closer to but not cross
These can be horizontal or vertical
Exponential graphs have horizontal asymptotes
Graphs of variables which vary inversely can have vertical and horizontal asymptotes
Exam Tip
Most GDC makes/models will not plot/show asymptotes just from inputting a function
Add the asymptotes as additional graphs for your GDC to plot
You can then check the equations of your asymptotes visually
You may have to zoom in or change the viewing window options to confirm an asymptote
Even if using your GDC to plot graphs and solve problems sketching them as part of your working is good exam technique
Label the key features of the graph and anything else relevant to the question on your sketch
Worked Example
Intersecting Graphs
How do I find where two graphs intersect?
Plot both graphs on your GDC
Use the intersect function to find the intersections
Check if there is more than one point of intersection
How can I use graphs to solve equations?
Exam Tip
You can use graphs to solve equations
Questions will not necessarily ask for a drawing/sketch or make reference to graphs
Use your GDC to plot the equations and find the intersections between the graphs
Worked Example
转载自savemyexams
Previous post: Edexcel IGCSE Chemistry 复习笔记 4.8.2 Disposal of Addition Polymers
Next post: Edexcel IGCSE Chemistry 复习笔记 4.8.3 Condensation Polymers
翰林福利
站内搜索
在线登记
最新发布
【NEC组队】领科、贝赛思、平和等强校学霸邀你强强联手,共摘桂冠!
直播预告-北上广深第一梯队国际学校都冲哪些物理竞赛?CFA大神告诉你哪些是“天花板”级经济商赛!
IB数学选AA还是AI?哪个可以拿到更高分?附IB数学备考资料
牛剑入学笔试时间公布!还记得笔试变化有哪些吗?
化学UKChO、CCC两大竞赛如何选?一文带你理清区别!
生物届两大“顶流”USABO、BBO赛事详解!如何一次备考冲击“双金”?
新校区!新项目!翰林将助力更多学子冲击顶尖梦校!
LSE首选的A-level科目有哪些?非首选科目有哪些?不认可的科目有哪些?
热门标签
AMC
物理碗
BBO
AMC8
欧几里得数学竞赛
Physics Bowl
AMC10
John Locke
AMC12
USABO
USACO
PhysicsBowl
AIME
NEC
BPhO
丘成桐中学科学奖
欧几里得
HiMCM美国高中数学建模竞赛
UKChO
SIC
Euclid
Brain bee
IEO
袋鼠数学竞赛
CCC加拿大化学竞赛
© 2024. All Rights Reserved.
沪ICP备2023009024号-1
项目咨询
了解背提项目
了解课程
了解课程
微信咨询
Go to top