ULC 148LEC Lecture Notes - Fall 2018 Lecture 1 - Dependent and independent variables

• School: University at Buffalo
• Department: Learning Center
• Course: ULC 148LEC
• Professor: Marino, M R

Document Summary

A relation is any set or ordered pairs. The set of all first components of the order pairs are domain. The set of all second components is called the range of the relation. A function is a correspondence from a first set called the domain, to a second set a called the range. Domains can only correspond to exactly one element in the range. Ex: (1,2), (3,4), (5,6) (that is a one to one function) Ex #2: (5,6), (5,7), (6,6), (6,7) ( not a function because the x values 5 and 6 repeat and have multiple y- values) The variable corresponding to the first coordinate is the independent variable and the variable corresponding to the second coordinate is the dependent variable. A function provides a rule for painting values of the independent variable with values of the depending variable. Evaluate each function as the given values of the independent variable and simplify: g(x)=x^2+2x+3, g(-1) g(-1)=(-1)^2+2(-1)+3.