Function Graphs - MathBitsNotebook (A1)

Function Graphs

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indicates compatibility to NY Next Generation Math Standards (NGMS)

LESSONS:

* calculator link

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Continuous and Discrete Functions (comparison chart)

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Features of Function Graphs (intercepts; positive/negative; increasing/decreasing)

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More Features of Function Graphs (maximum/minimum; symmetry; end behavior)

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Average Rate of Change of Functions (linear, non-linear, table, graph, word, speed)

For introductory information on transformations, see "Refreshers" at the end of this page.

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Starting with Parent Functions (for linear, quad, exp, sqrt, abs value, split, piece-wise)

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Function Transformations - Reflections ( -f (x) and f (-x) )

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Function Transformations - Vertical Shift ( f (x) + k )

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Function Transformations - Horizontal Shift ( f (x + k) )

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Function Transformations - Vertical Stretch/Compress ( k f (x) )

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Function Transformations - Horizontal Stretch/Compress ( f (kx) )

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Transformations of Functions: Summary and Chart

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TYPE: Linear, Quadratic & Cubic Functions

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TYPE: Square Root & Cube Root Functions

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TYPE: Piecewise Defined, Absolute Value, & Step Functions

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TYPE: Exponential Functions

PRACTICE:
•	Practice with Function Features (intercepts; inc/dec; max/min; pos/neg; end behavior)
•	Practice with Average Rate of Change

•	Practice with Vertical and Horizontal Shifts
•	Practice with Vertical Stretch and Compress
•	Practice with Combining Function Transformations (shifts, vertical stretch/compress)
•	Practice with Function Transformations (assorted transformations)

•	Practice with Linear, Quadratic and Cubic Functions
•	Practice with Square Root Functions
•	Practice with Cube Root Functions
•	Practice with Piecewise Defined, Absolute Value and Step Functions
•	Practice with Exponential Functions

REFRESHERS: (while these topics are mostly "review", you may also find new information here)
•	Transformations - Symmetry (intuitive, line, plane, point, rotational)
* •	Transformations - Reflections (intuitive, in a line, in a point, on coordinate axes)
* •	Transformations - Translations (intuitive, on coordinate axes)
* •	Transformations - Dilations (intuitive, simiilarity, on coordinate axes)
* •	Transformations - Rotations (intuitive, on coordinate axes)

•	Practice with Transformations (intuitive and non-grid)
•	Practice with Grid Transformations (on coordinate axes)