[MATH 151] - Midterm Exam Guide - Ultimate 12 pages long Study Guide!
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Relation: a set of points in the plane (a set of ordered pairs) Function: a relation in which every input (x-value) is paired with exactly one output (y-value) Ex: {(-3, -2), (-2,1), (2,1), (2, -2): not a function b/c one input has two outputs. Domain: the set of all meaningful values of x. Ex: {(-3, -2), (-2,1), (2,1): domain: {-3, -2, 2, range: {-2,1, set builder notation (assoc. wi/ graph): {-3 < x < -2 and -2 < x < 3} Ex: determine if the equation represents y as a function of x. Y-3x+2=0 y= sqrt [3x-2: note: always include +/- Ex: the equation y=x^2-x-12 is written in function notation as f(x)=x^2-x-12. 1. 4 function notation cont"d piecewise-defined function: function that behaves differently depending on the input value (x- value) Ex: f(x)= { x^2 if x 1; -x + 1 if 13} Find f(5)= [-4]= undefined (not a real number)
