Graphing Basic Functions with Translations and Refections

Notes on graphing functions using transformations. We cover rigid translations and reflections as well as domain and range.

Notes:
   1. Relations, Graphs, and Functions
   2. Graphing the Basic Functions
   3. Using Transformations to Graph Functions

YouTube Video Tutorials:

Graphing Basic Functions

The graphs of the following basic functions can be determined by plotting points. That is, choose some x-values and then substitute them in to find the corresponding y-values. The more points you plot the better the picture. [ Free Printable Graph Paper ]

Identity Function: [ https://www.desmos.com/calculator/hbtql3gmj4 ]

Graph f(x) = x and state the domain and range.

  

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Squaring Function: [ https://www.desmos.com/calculator/rslqgtrovn ]

Graph f(x) = x^2 and state the domain and range.

  

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Cubing Function: [ https://www.desmos.com/calculator/g0uxyuv08i ]

Graph f(x) = x^3 and state the domain and range.

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Absolute Value Function: [ https://www.desmos.com/calculator/au6i2qvsyf ]

Graph f(x) = | x | and state the domain and range.

  

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Square Root Function: [ https://www.desmos.com/calculator/hwrrzgp3x2 ]

Graph f(x) = sqrt(x) and state the domain and range.

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Reciprocal Function: [ https://www.desmos.com/calculator/wl1xlsmgfs ]

Graph f(x) = 1/x and state the domain and range.

 

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