relation
a set of ordered pairs
function
a set of ordered pairs in which each input value has exactly one output value
domain (x)
the set of input values of a function; independent variable
range (y or f (x))
the set of output values of a function; dependent variable
vertical line test
if a vertical line intersects the graph more than once it fails the test and is not a function
one to one function
a function that passes both the vertical and horizontal line tests
absolute maximum
a max y value for the entire function
relative maximum
a max y value for a particular region on a function
absolute minimum
a min y value for the entire function
relative minimum
a min y value for a particular region on a function
x-intercept
the point where the curve crosses, or intersects, the x-axis in a graph
y-intercept
the point where the curve crosses, or intersects, the y-axis in a graph
asymptote, hole
examples of discontinuities
continuous
a function that has no breaks in it
increasing function
A function where the y-value increases as the x-value increases
decreasing function
A function where the y-value decreases as the x-value increases:
end behavior
what happens to a function as x goes to infinity and negative infinity
odd function
a function that has symmetry with respect to the origin
even function
a function that has symmetry with respect to the y-axis