Lesson 4-2: Patterns and Linear Functions 4-2.1 Representing a Geometric Relationship – Vocabulary: Independent Variable A variable that provides the input value of a function – Dependent Variable A variable that provides the output value of a function – Input A value of the independent variable – Output A value of the dependent variable – To represent a relationship you first must identify what is the independent and dependent variables. They become the input and the output. Take the following example: The number of rectangles is the independent variable (x) and the perimeter is the dependent variable (y). First, set up a table to show the relationship between the number of rectangles and the perimeter. Rectangles Perimeter 1 14 2 16 3 18 4 20 So, because the lengths are always 2*6 or 12 and the widths are the same as 2*rectangles. We can then use the table to make a graph. Example #2: Y=4x+6
Lesson 4-2: Patterns and Linear Functions 4-2.1 – Representing a Geometric Relationship Vocabulary: Independent Variable – A variable that provides the input value of a function Dependent Variable – A variable that provides the output value of a function Input – A value of the independent variable Output – A value of the dependent variable To represent a relationship you first must identify what is the independent and dependent variables. They become the input and the output. Take the following example: The number of rectangles is the independent variable (x) and the perimeter is the dependent variable (y). First, set up a table to show the relationship between the number of rectangles and the perimeter. Rectangles Perimeter 1 14 2 16 3 18 4 20 So, because the lengths are always 2*6 or 12 and the widths are the same as 2*rectangles. We can then use the table to make a graph. Example #2: Y=4x+6