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20 Cards in this Set
- Front
- Back
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a line which the graph approaches as either x or y gets very large. |
asymptote |
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Asymptotes are usually shown on graphs by |
Dotted lines |
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Vertical asymptotes |
occur where a function ceases to be defined. When the denominator is equal to zero. |
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_________ indicate long term behavior of the graph and are lines that the graph approaches for large values of x (positive or negative) |
Horizontal asymptotes |
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Will asymptotes show up on a graphing calculator? |
No |
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When can a graph cross an asymptote? |
If the asymptote is only relevant for large values of x. |
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How do you solve an equation that cannot be solved analytically? |
use a calculator to graph the equation |
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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 |
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If the problem does not ask for an exact answer this is an indication |
that a graphical solution may be apropriate |
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A powerful method for solving simultaneous equations on a calculator is |
Plysmlt 2 |
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At the intersection of two graphs the y coordinates are |
equal |
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to determine the number of intersections if the equation is quadratic you use the ______ |
discriminant |
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Systems which have solutions are called |
consistent |
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Systems which have no solutions are called |
inconsistent |
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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 |
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There are no solutions when |
the coefficient equals zero. Something like 0=8 |
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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 |
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x^2 > 4 solutions are |
x < - 2 and x > 2 |
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How do you check or solve an inequality |
Graphically |
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An identity is |
an equation which is true for all values of x |
