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Mathematics - Lecture 15: Graphing functions

Mathematics - Lecture 15 "Graphing functions" presents the following content: Graphing functions, theorem (vertical line test), intercepts of the graph of a function, even and odd functions, some basic types of functions, piecewise-defined functions. | Graphing Functions Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 15 Math 17 (UP-IMath) Graphing Functions Lec. 15 1 / 24 Graphs of Functions Definition The graph of a function f whose domain is X is the set of all ordered pairs (x, f (x)) such that x ∈ X. Math 17 (UP-IMath) Graphing Functions Lec. 15 2 / 24 Graphs of Functions Definition The graph of a function f whose domain is X is the set of all ordered pairs (x, f (x)) such that x ∈ X. Examples: f (x) = x + 1 Math 17 (UP-IMath) Graphing Functions Lec. 15 2 / 24 Graphs of Functions Definition The graph of a function f whose domain is X is the set of all ordered pairs (x, f (x)) such that x ∈ X. Examples: f (x) = x + 1 Math 17 (UP-IMath) Graphing Functions Lec. 15 2 / 24 Graphs of Functions Definition The graph of a function f whose domain is X is the set of all ordered pairs (x, f (x)) such that x ∈ X. Examples: g(x) = x2 − 4 f (x) = x + 1 Math 17 (UP-IMath) Graphing Functions Lec. 15 2 / .