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Lesson 606 of 1524

Graphs and Functions

Graph of a Linear Equation: The graph of a linear equation A x + B y = C is a straight line.

Practice this chapter

Graph of a Linear Equation: The graph of a linear equation A x + B y = C is a straight line. How to graph a linear equation by plotting points.

Points with an x -coordinate equal to 0 are on the y -axis, and have coordinates ( 0 , b ) Every point on the line is a solution of the equation.

function — A function is a relation that assigns to each element in its domain exactly one element in the range. linear equation — An equation of the form A x + B y = C , where A and B are not both zero, is called a linear equation in two variables. x -coordinate equal to 0 — on the y -axis, and have coordinates ( 0 , b ). line — a solution of the equation.

Worked example

What does “function” mean in Graphs and Functions?

  1. 1Use the wording this chapter gives for function.
  2. 2The book says: A function is a relation that assigns to each element in its domain exactly one element in the range.
  3. 3Do not use the meaning of linear equation. That term means An equation of the form A x + B y = C , where A and B are not both zero, is called a linear equation in two variables.

Result: A function is a relation that assigns to each element in its domain exactly one element in the range

Why. That is the meaning this chapter gives for function.

Do not swap function and linear equation. function means A function is a relation that assigns to each element in its domain exactly one element in the range. linear equation means An equation of the form A x + B y = C , where A and B are not both zero, is called a linear equation in two variables.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.