Standard #: MA.912.A.2.3 (Archived Standard)


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Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.


Remarks


Example 1: Given the relation {(-3, -1), (2, -1), (1, 0), (2, 5)}, determine if the relation can be a function.
Example 2: for f(x)=2x+6, find f(3) and find x such that f(x)=10
Example 3: Given the graph of the relation below, decide if this relation is a function. Explain your reasoning.



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
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 identify and/or analyze relations and functions given in various forms, including graphs, tables, sets of ordered pairs, and equations.
    Content Limits :

    Items may ask students to write given functions as equations.

    In items that require students to determine the equation of a function, only continuous linear and/or quadratic functions should be used.

    Items presenting a relation as a set of ordered pairs may not exceed 6 ordered pairs in the set.

    In items presenting relations as graphs for the purpose of determining if the relation is a function, the graph need not be continuous.

    Items should utilize function notation as appropriate
    Stimulus Attributes :
    Items may be set in either real-world or mathematical contexts.
    Response Attributes :

    Fill-in response items may require that students provide an element of the range (or domain) for a point of interest.

    Fill-in response items may have a negative answer.



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1

For one child, a childcare facility charges $300 per month for preschool and $3.50 per hour for each hour of childcare after preschool. The function below can be used to determine f (h), the monthly fee for childcare and preschool, where h represents the number of hours spent in childcare after preschool.

f (h) = 300 + 3.5h

If the one-month charges for one child totaled $637.75, what was the total number of hours the child spent in childcare after preschool?

 N/A FR: Fill-in Response
Sample Item 2

As a diver swims deeper underwater, the water pressure in pounds per square inch (PSI) increases on the diver. The table below shows the pressure in PSI for several depths of water.

 

Which equation represents p, the water pressure in square inches, as a function of d, the depth in feet?

 N/A MC: Multiple Choice


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