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Formalizing Relations and Functions Chapter 4 Section 6 Objective Students will determine whether a relation is a function and find domain and range and use function notation. Relation A pairing of numbers in one set Each independent variable is paired with a dependent variable. Domain The set of independent variables Usually all the possible X values. Range Set of dependent variables All the possible solutions to a function. Turn to page 268 Look at Problem 1 Try the “Got It” problem for each example Vertical Line Test If any vertical line passes through the graph more than one time then the graph is not a function. Passing more than one time would mean that an X value occurs more than once with a different output. On page 269… Look at Problem 2 Try the “Got It” problem for that example. Function Notation Y is replaced with F(x); meaning that the equation no longer has two variables but is written as a function of X. On page 269… Look at Problem 3 Try the “Got It” problem for that example. Turn to page 270 Look at Problem 4 and 5 Try the “Got It” problems for those examples. On page 271… Try problems #1-7 on your own Raise your hand when you are finished.