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Math Clip Art--Linear Functions Concepts--Linear Function Representations 9

Math Clip Art--Linear Functions Concepts--Linear Function Representations 9

Function Rule and Equation

Topic

Linear Functions

Description

This image shows a function rule and its corresponding function equation for f(x) = 2x. It illustrates how a verbal description of a function rule can be translated into a mathematical equation, bridging the gap between conceptual understanding and algebraic representation.

By using this visual aid, teachers can help students make the connection between the intuitive understanding of a function's behavior and its formal mathematical expression. This image is particularly useful for introducing the concept of variable notation and function notation.

Teachers can explain this concept by saying: "If you know the function rule for a linear function, you can write it as an equation. In this case, our rule of 'double the input' becomes f(x) = 2x. How does this equation reflect the rule? What does the 'f(x)' notation mean? How would this function look if we graphed it?"

For a complete collection of math clip art related to Linear Functions click on this link: Linear Functions Concepts Collection.

Common Core Standards CCSS.MATH.CONTENT.8.F.A.2, CCSS.MATH.CONTENT.8.F.A.3, CCSS.MATH.CONTENT.HSF.LE.A.1.A
Grade Range 8 - 10
Curriculum Nodes Algebra
    • Linear Functions and Equations
        • Graphs of Linear Functions
        • Slope-Intercept Form
Copyright Year 2021
Keywords linear functions