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### 20 Cards in this Set

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 a line which the graph approaches as either x or y gets very large. asymptote Asymptotes are usually shown on graphs by Dotted lines Vertical asymptotes occur where a function ceases to be defined. When the denominator is equal to zero. _________ indicate long term behavior of the graph and are lines that the graph approaches for large values of x (positive or negative) Horizontal asymptotes Will asymptotes show up on a graphing calculator? No When can a graph cross an asymptote? If the asymptote is only relevant for large values of x. How do you solve an equation that cannot be solved analytically? use a calculator to graph the equation When using your calculator to solve an equation you must... draw a sketch of the graph and round the solution to an appropriate degree of accuracy If the problem does not ask for an exact answer this is an indication that a graphical solution may be apropriate A powerful method for solving simultaneous equations on a calculator is Plysmlt 2 At the intersection of two graphs the y coordinates are equal to determine the number of intersections if the equation is quadratic you use the ______ discriminant Systems which have solutions are called consistent Systems which have no solutions are called inconsistent When a system has infinitely many solutions (0=0) the general solution involves writing x, y and z in terms of... z and then equate all to lamda There are no solutions when the coefficient equals zero. Something like 0=8 if you multiply or divide both sides of an inequality by a negative number, what do you have to do to the sign? Reverse the sign x^2 > 4 solutions are x < - 2 and x > 2 How do you check or solve an inequality Graphically An identity is an equation which is true for all values of x