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20 Cards in this Set
 Front
 Back
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 