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# MAFS.8.F.2.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Subject Area: Mathematics
Domain-Subdomain: Functions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Use functions to model relationships between quantities. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### TEST ITEM SPECIFICATIONS

• Item Type(s): This benchmark may be assessed using: MC , MS , OR , MI , GRID item(s)

• Assessment Limits :
Linear or nonlinear relationships may use any of the four quadrants. Graph descriptions move from left to right. Functional relationships must be continuous.
• Calculator :

Neutral

• Context :

Allowable

### SAMPLE TEST ITEMS (5)

• Test Item #: Sample Item 2
• Question: Kim rides a stationary bike for fifteen minutes of exercise.

Kim starts her ride slowly, stops for 2 minutes, and then continues her ride faster than she started.

Use the Connect Line tool to create a possible graph of Kim’s ride.

• Difficulty: N/A
• Type: GRID: Graphic Response Item Display

• Test Item #: Sample Item 3
• Question:

Mary and Kim go bike riding on some trails. Graphs of the functions representing one of their rides are shown, where x is the time, in minutes, and y is the distance, in miles.

Select all statements that are true based on the graphs shown.

• Difficulty: N/A
• Type: MS: Multiselect

• Test Item #: Sample Item 4
• Question:

Mary and Kim ride their bikes to school each day. Graphs of the functions representing one of their rides are shown, where x is the time, in minutes, and y is the distance, in miles.

Write a short story about Mary’s bike ride describing the relationship between time and distance. Include information about changes in the behavior of the function and rate of speed using terms such as increasing, constant, and decreasing.

• Difficulty: N/A
• Type: OR: Open Response

• Test Item #: Sample Item 5
• Question:

Mary and Kim each take 15 mintues to ride their bikes to school. The graphs of the functions that model their rides are shown, where x is the time, in minutes, and y is the distance, in miles.

The graphs are divided into time intervals A, B, and C.

Use the graphs to match each statement with the appropriate person or people.

• Difficulty: N/A
• Type: MI: Matching Item