## Chapter 3 - Pre-Calculus Vocabulary

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poppysimpson  on June 16, 2011

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# Chapter 3 - Pre-Calculus Vocabulary

 point symmetrya specific type of rotational symmetry when a figure rotates onto itself after a rotation of exactly 180º
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#### Definitions

point symmetry a specific type of rotational symmetry when a figure rotates onto itself after a rotation of exactly 180º
line symmetry a line that divides a figure into two halves that are mirror images of each other
even function graph is symmetrical with respect to the y-axis; f(x) = f(-x)
odd function graph is symmetrical with respect to the origin; f(-x)=-f(x)
inverse function A relation formed by reversing x and y in a function.
horizontal line test If any horizontal line only crosses at a graph at most once, it has an inverse function.
infinite discontinuity A graph that has discontinuity where there are plural asymptotes involved
jump discontinuity A graph that has discontinuity where the function moves to a different y-value and then continues. It cannot be filled in with just a point
point discontinuity A point where the function is not continuous.
end behavior the behavior of the graph of a function as x approaches positive infinity or negative infinity
absolute maximum a point that represents the maximum value a function assumes over its domain
absolute minimum the smallest y-value of the function
relative maximum point when the graph goes from increasing to decreasing
relative minimum point when the graph goes form decreasing to increasing
asymptote a line that a graph approaches but never crosses
direct variation y=kx
inverse variation y=k/x or xy=k
joint variation y=kxz, y varies jointly with x and z

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