The Graph of f
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 40 of 64.
To draw a function, let y be its output. The graph of f is the graph of y = f(x). For f(x) = -x + 2, the graph is the line with slope -1 through (0, 2). Each point on the line pairs an input x with its output f(x).
To read f(3) from the graph, find the point on the line where x = 3 and read its y-coordinate. Writing a linear rule as a function does not change how you find its slope or its intercepts.
Challenge
MediumThe rule is f(x) = 2x - 3. Draw its graph, the line y = f(x).
Try it yourself
Draw the graph
Test yourselfThis 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 PointThe Four QuadrantsPoints on the AxesMirror PointsRecap: The Plane4Slope-Intercept Form
y = mx + bThe Starting HeightWrite the EquationSolve for yDraw From Any FormRecap: y = mx + b7Parallel & Perpendicular
Same Slope, Never MeetThe Perpendicular SlopeA Right-Angle LineRecap: Two Relations2From Rule to Line
A Rule Makes PointsThe Points Line UpOn the Line or Not?Between the DotsRecap: Rule to Line