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Understanding Domain and Range in Functions: Key Concepts and Representations

This lesson focuses on the concepts of domain and range in mathematical functions. We explore what domain and range mean, highlighting the independent variable (x-values) and the dependent variable (y-values). Using examples like the equation y = 1 + 2x, we illustrate how to represent functions graphically, in tables, and verbally. Students will practice creating various representations of functions based on problems presented. Mastering these concepts is crucial for understanding the behavior of functions and their applications in mathematics.

mariko-russell
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Understanding Domain and Range in Functions: Key Concepts and Representations

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  1. Lesson 4 (Domain and Range) • What is domain? • What is range? • The x values of a function. (Independent variable) • The y values of a function. (Dependent variable)

  2. Lesson 4 (Domain and Range) • Using domain and range, functions can be expressed by tables, equations, graphs, and verbal descriptions. • Example: • y = 1 + 2x • x= first number, y= second number • The second number is one more than twice the first

  3. Lesson 4 (Domain and Range) • Given each problem, create the other representations.

  4. Lesson 4 (Domain and Range)

  5. Lesson 4 (Domain and Range) • The second number is one less than twice the first.

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