Standard #: MA.912.A.2.4 (Archived Standard)


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Determine the domain and range of a relation.


Remarks


Example: Determine the domain and range of f(x = square root of xso that f(x) is a function.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Standard: Relations and Functions - Draw and interpret graphs of relations. Understand the notation and concept of a function, find domains and ranges, and link equations to functions.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC , FR item(s)
    Also Assesses:

    MA.912.A.2.13 Solve real-world problems involving relations and functions.

    Clarification :
    Students will determine the domain and range of relations.
    Content Limits :

    In items requiring students to determine the domain and/or range from an equation, only linear and quadratic functions may be used.

    Domains and ranges may be listed as inequalities (e.g., 0 < x ≤ 60 for domain), or written as a sentence.

    Items should utilize function notation, as appropriate.

    Items may present relations in a variety of formats, including sets of ordered pairs, tables, graphs, and input/output models.

    In items requiring students to determine the domain and/or range from a graph, only linear, quadratic, or continuous piecewise functions may be used.

    Stimulus Attributes :
    Items may be set in either real-world or mathematical contexts
    Response Attributes :

    Multiple-choice and fill-in response items may require that students provide the least value (lower bound) or greatest value (upper bound) in the domain or range, or an endpoint of the domain or range.

    Fill-in response items may have a negative answer.



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1

An economics teacher plotted the value of a stock on 11 different days during a 500-day period and used line segments to connect them. In the graph below, the horizontal axis is measured in days and the vertical axis is measured in dollars. 

 

Based on the graph, which of the following best describes the range of the value of the stock for this 500-day period?

 N/A MC: Multiple Choice
Sample Item 2

The set of ordered pairs shown below defines a relation.

{(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}

What is the value of the greatest element in the range of this relation?

 N/A FR: Fill-in Response


Related Resources

Professional Development

Name Description
Domain and Range of a Function Khan Academy video Tutorial.

Definition of domain and range. The tutorial uses six different examples to demonstrate linear, quadratic, and rational functions with consideration to the domain and range.
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