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50 Cards in this Set
 Front
 Back
point where a graph intersects the x axis

xintercept


point where graph intersects y axis

yintercept


when x can be substituted for x and it will lead to an equivalent equation

yaxis symmetry


when y can be substituted for y and it will lead to an equivalent equation

xaxis symmetry


simultaneous substitution of x for x and y for y which leads to an equivalent equation

origin symmetry


numer used to indicate the steepness of a line and whether it tilts uphill or downhill

slope


equation of a line;
yy1=m(xx1) 
point slope equation


equation of a line; y=mx+b

slope intercept equation


2 coplanar lines with the same slope and do not intersect

parallel lines


2 lines that intersect to form a 90 degree angle . their slopes are negative reciprocals

perpendicular lines


a set of ordered pairs

relation


a relation for which each element of the domain corresponds to exactly one element of the range

function


a variable whose value can be freely chosen without considering values of any other variable

independent variable


a variable whose value depends on one or more other variables

dependent variable


set of values for the independent variables for which a function or relation is defined

domain


the set of y values of a function or relation

range


a function for which every element of the range corresponds to one element of the domain. must pass vertical and horizontal line test

one to one function


test used to determine if a relation is a function. no vertical lines can intersect the graph at more than one point

vertical line test


solution to an equation; can be real or complex

roots


transformation wehre a graph is picked up and moved to a new location wtihout change in size or orientation

translation


transformation where a geometric figure is reflected across a line, creating a mirror image

reflection


sum or difference of terms which have variables raised to positive integers and have real or complex coefficients

polynomial function


a variable's exponent

degree


number multiplied by a varaible or powers of variables in a term

coefficient


a term of expression with no variables

constant


function that can be written as a polynomial divided by a polynomial

rational function


function with a graph that is symmetric with respect to the yaxis

even function


funciton with a graph that is symmetric with respect to the origin

odd function


functions with x as teh input variable and x is raised only to the first power

linear function


function of the form ax2+bx+c wehre a,b,c are not equal to 0.

quadratic function


function that uses different formulas for different parts of its domain

piecewise fucntion


function of the form y=ab^x where a>0

exponential function


inverse fo the exponential function

logarithmic function


function obtained by switching the x and y variables ina function. written f^1(x)

inverse of a function


line that touches a curve at a point without crossing over

tangent line


line which passes through at least 2 points of a curve

secant line


distance between a numer and the origin . must be 0 or positive

absolute value


square root of (x2x1)^2+(y2y1)^2

distance formula


(x1+x2)/2 , (y1+y1)/2

midpoint formula


interval that contains its endpoints

closed interval


interval that does not contain its endpoints

open interval


trig functon. y/r

sine


trig function. x/r

cosine


trig function. y/x

tangent


trig function. r/x

secant


trig function. r/x

secant


trig function. x/y

cotangent


horizontal distance required for a graph of a periodic fxn to complete one cycle

period


half the differnece between the minimum and maximum values of the range

amplitude


when you use the output of one function to plug in for the input of another

composite functions
