ACT Math

Lesson Plan

Domain and range

Goals / Objectives

Define domain as the set of valid input values and range as the set of output values those inputs produce

Read the domain and range of a function from its graph using a two-sweep method, reporting both as inequalities

State the domain of a polynomial function as all real numbers, and explain why

Find the domain of a rational function by setting the denominator equal to zero, solving, and excluding the solutions

Locate the vertical asymptotes of a rational function's graph from its excluded inputs

Find the range of a polynomial function, distinguishing the odd-degree case (all reals) from the even-degree case (bounded by the vertex)

Standards

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

Academic Vocabulary

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Materials

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Enrichment

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Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

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Lesson plan — Domain and range | K12worX