Math Summer Reading Vocab

Front 1

point where a graph intersects the x axis

Back 1

x-intercept

Front 2

point where graph intersects y axis

Back 2

y-intercept

Front 3

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

Back 3

y-axis symmetry

Front 4

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

Back 4

x-axis symmetry

Front 5

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

Back 5

origin symmetry

Front 6

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

Back 6

slope

Front 7

equation of a line;
y-y1=m(x-x1)

Back 7

point slope equation

Front 8

equation of a line; y=mx+b

Back 8

slope intercept equation

Front 9

2 coplanar lines with the same slope and do not intersect

Back 9

parallel lines

Front 10

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

Back 10

perpendicular lines

Front 11

a set of ordered pairs

Back 11

relation

Front 12

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

Back 12

function

Front 13

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

Back 13

independent variable

Front 14

a variable whose value depends on one or more other variables

Back 14

dependent variable

Front 15

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

Back 15

domain

Front 16

the set of y values of a function or relation

Back 16

range

Front 17

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

Back 17

one to one function

Front 18

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

Back 18

vertical line test

Front 19

solution to an equation; can be real or complex

Back 19

roots

Front 20

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

Back 20

translation

Front 21

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

Back 21

reflection

Front 22

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

Back 22

polynomial function

Front 23

a variable's exponent

Back 23

degree

Front 24

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

Back 24

coefficient

Front 25

a term of expression with no variables

Back 25

constant

Front 26

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

Back 26

rational function

Front 27

function with a graph that is symmetric with respect to the y-axis

Back 27

even function

Front 28

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

Back 28

odd function

Front 29

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

Back 29

linear function

Front 30

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

Back 30

quadratic function

Front 31

function that uses different formulas for different parts of its domain

Back 31

piece-wise fucntion

Front 32

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

Back 32

exponential function

Front 33

inverse fo the exponential function

Back 33

logarithmic function

Front 34

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

Back 34

inverse of a function

Front 35

line that touches a curve at a point without crossing over

Back 35

tangent line

Front 36

line which passes through at least 2 points of a curve

Back 36

secant line

Front 37

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

Back 37

absolute value

Front 38

square root of (x2-x1)^2+(y2-y1)^2

Back 38

distance formula

Front 39

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

Back 39

midpoint formula

Front 40

interval that contains its endpoints

Back 40

closed interval

Front 41

interval that does not contain its endpoints

Back 41

open interval

Front 42

trig functon. y/r

Back 42

sine

Front 43

trig function. x/r

Back 43

cosine

Front 44

trig function. y/x

Back 44

tangent

Front 45

trig function. r/x

Back 45

secant

Front 46

trig function. r/x

Back 46

secant

Front 47

trig function. x/y

Back 47

cotangent

Front 48

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

Back 48

period

Front 49

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

Back 49

amplitude

Front 50

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

Back 50

composite functions