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The Graph of f

Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 40 of 64.

A function is drawn by letting y be its output: the graph of f is the graph of y = f(x). For f(x) = -x + 2 that is the line with slope -1 through (0, 2), and each point (x, f(x)) is one input paired with its output.

Reading the graph reverses it: the height of the line above x = 3 IS f(3). Everything the chapter said about lines, slope, intercepts, forms, now speaks the language of functions unchanged.

Challenge

The rule is f(x) = 2x - 3. Draw its graph, the line y = f(x).

Try it yourself

y = f(x)

Draw the graph

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Graphs & Systems

1The Coordinate Plane

Two Numbers, One Point The Four Quadrants Points on the Axes Mirror Points Recap: The Plane

4Slope-Intercept Form

y = mx + b The Starting Height Write the Equation Solve for y Draw From Any Form Recap: y = mx + b

7Parallel & Perpendicular

Same Slope, Never Meet The Perpendicular Slope A Right-Angle Line Recap: Two Relations

10Systems by Graphing

Two Lines, One Answer Solve by Drawing Check the Crossing When Lines Never Cross Recap: By Graphing

2From Rule to Line

A Rule Makes Points The Points Line Up On the Line or Not?Between the Dots Recap: Rule to Line

5Point-Slope Form

A Point and a Slope From Two Points Flat or Vertical Through Draw From a Point Recap: Point-Slope

8Function Notation

The Name of a Rule Inputs With Signs Find the InputThe Graph of fRecap: f(x)

11Solving Systems Exactly

Substitution Isolate First Elimination Scale, Then Add Three Unknowns Two Numbers, Two Facts Recap: Two Methods