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Learning Goal

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Domain and range

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

**F 506.** Understand the concept of domain and range in terms of valid input and output, and in terms of function graphs **F 508.** Find the domain of polynomial functions and rational functions **F 509.** Find the range of polynomial functions **F 510.** Find where a rational function's graph has a vertical asymptote **A 513.** Determine when an expression is undefined **F 505.** Understand the concept of a function as having a well-defined output value at each valid input value

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F 506. Understand the concept of domain and range in terms of valid input and output, and in terms of function graphs
F 508. Find the domain of polynomial functions and rational functions
F 509. Find the range of polynomial functions
F 510. Find where a rational function's graph has a vertical asymptote
A 513. Determine when an expression is undefined
F 505. Understand the concept of a function as having a well-defined output value at each valid input value

What you'll learn

  1. Define domain as the set of valid input values and range as the set of output values those inputs produce
  2. Read the domain and range of a function from its graph using a two-sweep method, reporting both as inequalities
  3. State the domain of a polynomial function as all real numbers, and explain why
  4. Find the domain of a rational function by setting the denominator equal to zero, solving, and excluding the solutions
  5. Locate the vertical asymptotes of a rational function's graph from its excluded inputs
  6. Find the range of a polynomial function, distinguishing the odd-degree case (all reals) from the even-degree case (bounded by the vertex)

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