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Understanding Functions and Translations in Mathematics

Learn about functions, translations, intercepts, domain, range, and more with examples and mathematical explanations. Practice transformations and identify important points graphically and numerically.

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Understanding Functions and Translations in Mathematics

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  1. 1.1 Summation

  2. Graph What are the intercepts? What is the domain? What is the range? • (6, -1) • (0, 0) • (8, 1) • (1, 4) • (0, -2) • (2, -5) • (2, 5) Is the RELATION a FUNCTION? Why or why not ?

  3. {(4,7),(0, 5),(21, 41),(-6, 0)} • Is this relation a function? • What is the domain? • What is the range? • What are the intercepts?

  4. Example: Translating Points Perform the given translation on the point (–4, -5). Give the coordinates of the translated point. 5 units right, 2 units down Show mathematically! ? Slope ? ? Domain ? ? Range ?

  5. Example: Translating Points Perform the given translation on the point (–1, 2). Give the coordinates of the translated point. 1units left and 3 units down Show mathematically!

  6. Example translation 2 units down Identify important points from the graph and make a table. X Y

  7. Example Use a table to perform the transformation of y = f(x). Use the same coordinate plane as the original function. reflection across x-axis f

  8. Perform each transformation of y = f(x). Use the same coordinate plane as the original function. Copy the original function. Create a table. You can do all on graph paper a) Translate 2 units up b) Reflection across x axis

  9. SLOPE recall is next!

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