Relations and Functions

Learn and apply relations and functions using equations, examples, and interpretation.

Lesson 1 of 53 parts Practice Flashcards

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Input-Output Relations

Objective: Explain and use input-output relations in an Algebra 1 problem.

A relation pairs inputs with outputs, often represented by ordered pairs, tables, graphs, or equations. A pair (input, output) in a stated order.

Worked examples

Try itExample 1.1: For f(x)=4x+14, find f(5).Show answer

34. Replace x with 5 in the stated function. The answer is 34.

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Input-Output Relations

Objective: Explain and use input-output relations in an Algebra 1 problem.

A relation pairs inputs with outputs, often represented by ordered pairs, tables, graphs, or equations. A pair (input, output) in a stated order.

Worked examples

Try itExample 1.1: For f(x)=4x+14, find f(5).Show answer

34. Replace x with 5 in the stated function. The answer is 34.

Function Rule

Objective: Explain and use function rule in an Algebra 1 problem.

A relation is a function when each allowed input has exactly one output; different inputs may share one output. Yes, a function may repeat outputs.

Worked examples

Try itExample 2.1: For f(x)=2x+24, find f(8).Show answer

40. Replace x with 8 in the stated function. The answer is 40.

Vertical Line Test

Objective: Explain and use vertical line test in an Algebra 1 problem.

A graph represents y as a function of x exactly when no vertical line hits it more than once. Its intersections share an x-coordinate but have different y-coordinates.

Worked examples

Try itExample 3.1: For f(x)=3x+34, find f(11).Show answer

67. Replace x with 11 in the stated function. The answer is 67.

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