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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

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

2

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

3

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

4

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

5

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

6

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

7

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

8

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

9

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

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.

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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.

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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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