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### High School Mathematics - 24.9 Functions

 A function is a relation (usually an equation) in which no two ordered pairs have the same x-coordinate when graphed. One way to tell if a graph is a function is the vertical line test, which says if it is possible for a vertical line to meet a graph more than once, the graph is not a function. Functions are usually denoted by letters such as f or g. If the first coordinate of an ordered pair is represented by x, the second coordinate (the y coordinate) can be represented by f(x). When a function is an equation, the domain is the set of numbers that are replacements for x that give a value for f(x) that is on the graph. Example 1: For f(x) = 2x+6, find f(5) f(x) = 2x+6 = 2x5+6 = 10 + 6 = 16 Example 2: Find the domain of the function f(x) = 4/x x can take any value except zero. Since division by 0 is not defined. Therefore, the domain is said to be x > 0 and x < 0. Directions: Answer the following questions. Also write at least 10 examples of your own.
 Q 1: Let x = {2,3}, Y = {1,3,5}, ow many different functions are there from X into Y.957 Question 2: This question is available to subscribers only!