Precalculus Vocabulary

Front 1

Continuity

Back 1

Function is continuous if its hand drawn graph over an interval can be drawn w/o lifting pencil from paper

Front 2

If a function is not continuous @ a point it may have...

Back 2

-a point of discontinuity
-vertical asymptote

Front 3

Continuous Functions which are continuous...

Back 3

-increasing function
-decreasing function
-constant

Front 4

domain

Back 4

set of all x values

Front 5

range

Back 5

set of all y values

Front 6

relation

Back 6

set of ordered pairs

Front 7

function

Back 7

relation in which each element in the domain corresponds to exactly one element in the range (each x has only one y - the x's do not repeat)

Front 8

independent

Back 8

x's or domain

Front 9

dependent

Back 9

y's or range (b/c the value of y depends on the value of x)

Front 10

discrete

Back 10

a function w/ a finite number of elements

Front 11

discontinuous

Back 11

there is a gap or brake in the graph (over its domain)

Front 12

symmetry w/ respect to the y-axis

Back 12

if a function f is defined so that f(x)=f(-x) for all x in its domain (if (a,b) is on the graph, then (-a,b) is also on the graph -- substituting -x for x in the equation results in an equivalent equation)

Front 13

symmetry w/ respect to the origin

Back 13

if a function f is defined so that f(-x)=-f(x) for all x in its domain (if (a,b) is on the graph, then (-a,-b) is also on the graph -- substituting -x for x and -y for y results in an equivalent equation

Front 14

symmetry w/ respect to the x-axis

Back 14

if a "function" f is defined so that "f(x)=-f(x)" (if (a,b) i son the graph, then (a,-b) is also on the graph -- substituting -y for y results in an equivalent equation)

Front 15

even function

Back 15

if f(-x)=f(x) for all x in its domain (its graph is symmetric w/ respect to the y-axis)

Front 16

odd function

Back 16

if f(-x)=-f(x) for all x in its domain (its graph is symmetric w/ respect to the origin)