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Understanding Functions: Domain, Range, and Function Notation

This guide explores the concept of functions, focusing on how to identify them using the vertical line test. It defines the domain and range, providing clear instructions on how to determine these values from a graph. Additionally, the guide explains evaluating functions at specified values, using function notation. Practice examples are included to reinforce learning, with a focus on correctly interpreting and expressing domain and range using interval notation. This resource is perfect for students seeking to enhance their understanding of mathematical functions.

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Understanding Functions: Domain, Range, and Function Notation

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  1. Functions Domain & Range Evaluate with Function Notation

  2. Does graph represent a function? State the domain & range. Vertical line test - if a vertical line will only touch the graph at most 1 time – then the graph represents a function. Domain: how far left , how far right Range: how low, how high Included use [ ] Not included use ( )

  3. Does graph represent a function? State the domain & range. Domain: (-4, 5] Range: [-3, 4) Function? Yes 

  4. Evaluate for the given value. • The function name is F, and this function is in terms of x. • Replace the variable with indicated value.

  5. Evaluate for the given value.

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