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Name that Graph

Choose from the given functions the one that best describes the shape of the graph.

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This is level 1: Classic - The most familiar graph shapes of common functions. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online. Choose the function that is plotted as \(y\).

1

\(x\)\(1/x\)\(-x^2\)\(x^3\)\(x^2\)\(-1/x\)\(3\)\(-x\)\(-x^3\)

2

\(x^2\)\(-1/x\)\(-x\)\(3\)\(1/x\)\(x^3\)\(x\)\(-x^3\)\(-x^2\)

3

\(-x\)\(x\)\(x^3\)\(3\)\(-1/x\)\(1/x\)\(-x^3\)\(-x^2\)\(x^2\)

4

\(x\)\(-1/x\)\(x^2\)\(-x^2\)\(-x^3\)\(-x\)\(3\)\(x^3\)\(1/x\)

5

\(3\)\(x^2\)\(x^3\)\(1/x\)\(-x^3\)\(-x^2\)\(x\)\(-1/x\)\(-x\)

6

\(3\)\(-x^2\)\(-1/x\)\(x\)\(x^3\)\(-x\)\(1/x\)\(-x^3\)\(x^2\)

7

\(x^2\)\(1/x\)\(x\)\(-x\)\(-1/x\)\(-x^3\)\(x^3\)\(-x^2\)\(3\)

8

\(-x^3\)\(-x\)\(-1/x\)\(3\)\(x\)\(1/x\)\(x^2\)\(-x^2\)\(x^3\)

9

\(x\)\(3\)\(1/x\)\(x^2\)\(-x\)\(-x^2\)\(-x^3\)\(x^3\)\(-1/x\)

Check

This is Name that Graph level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Whose Idea Was This?

Did you enjoy doing this 'Name that Graph' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept.

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Teachers

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Description of Levels

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Level 1 - Classic - The most familiar graph shapes of common functions

Level 2 - Linear - Straight line graphs in different poses

Level 3 - Quadratic - Graphs of functions of degree 2

Level 4 - Cubic - Graphs of functions of degree 3

Level 5 - Reciprocal - Graphs of functions with the variable in the denominator

Level 6 - Advanced - A mixed collection of challenges

Graph Plotter - Not only can you easily plot functions but scroll down the page for many more related activities.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

You may also want to use a calculator to check your working. See Calculator Workout skill ##.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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