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Moves a function on the graph.

Here's a great graph to show each transformation and how it transforms your function:

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...I had to

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Graph examples of functions and non functions

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Graph examples of functions and non functions

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Switch y and x, solve for y

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linear(odd), quadratic(even), cubic(odd), absolute(even), reciprocal, exponential, logarithmic, square root, sine, cosine, tangent. (some are shown, some are not)

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Identifying Parent Functions & their Properties

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Identifying Parent Functions & their Properties

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Intro to parent functions video

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Intro to Parent Functions - Transformations, End Behavior, & Asymptotes

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https://www.youtube.com/watch?v=nPxmoGR5oTQ

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Verifying two functions are inverses (Estella)

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Verifying two functions are inverses (Estella)

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- inverse of a relation is a function if ti passes the horizontal line test
- to find the inverse function algebraically, switch x and y and then solve for y.

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How to verify if two functions are inverses of each other

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Identifying Parent Functions & their Properties

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Identifying Parent Functions & their Properties

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Intro to parent functions video

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Intro to Parent Functions - Transformations, End Behavior, & Asymptotes

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Domains are limited if the function is a radical, inverse, or log. Ranges are limited if the function is a quadratic, absolute value, inverse, radical, or log.

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Domain and Range of a Function From a Graph

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Combining functions with addition, subtraction, multiplication, and division

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Combining functions with addition, subtraction, multiplication, and division

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Decomposition is the "undoing" of the composition of functions.
Start by identifying the "inside function" and replacing it with x to find the "outside function".

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Decomposing Functions - Composition of Functions

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-Maximums and minimums of the graph
-"Peaks and Valleys"

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Stating Intervals of Increase and/or Decrease 

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Stating Intervals of Increase and/or Decrease 

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The main way to identify if the inverse of a relation is a function is to check if it passes the horizontal line test.

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Topics include:

1. Identifying if a relation is a function or not.

2. Identifying if the inverse of a relation is a function.

3. Finding domain and range of functions.

4. Identifying functions as being even, odd, or neither.

5. Identifying local extrema.

6. Stating intervals of increase and/or decrease.

7. Identifying parent functions and their properties.

8. Finding the inverse of a function algebraically.

9. Verifying two functions are inverses.

10. Combing functions with addition, subtraction, multiplication, and division.

11. Composition of functions.

12. Decomposition of functions.

13. Transformations of functions.