pdf Function Boxes - Find The Function Rule

This worksheet strengthens students’ understanding of functions by requiring them to determine the rule that transforms each input value into its corresponding output. Students analyze multiple input-output tables and identify the relationship between \(x\) and \(y\), then express the function rule both mathematically and verbally.

Each function box presents a new pattern, challenging students to recognize operations such as multiplying, adding, subtracting, or dividing. For example, students may determine that a table follows a rule such as \(y = 4x + 3\), \(y = 5x - 2\), or \(y = 9x + 7\). By writing both the equation and a verbal explanation, students reinforce their ability to translate between symbolic and descriptive representations of a function.

Because the problems require pattern recognition, algebraic reasoning, and clear communication, this resource builds a strong foundation for understanding linear functions. It works well as guided practice, independent practice, enrichment, or review before moving into graphing and slope-intercept form.

Skills Assessed

• Identifying function rules from input-output tables

• Writing linear equations in the form \(y = mx + b\)

• Expressing function rules verbally

• Recognizing linear patterns

• Connecting numerical patterns to algebraic expressions

Classroom Use

• Introduction to functions

• Guided practice with function tables

• Independent practice

• Small-group instruction

• Assessment preparation

Details

2 pages
Answer key included

ID# 0133