Math 1St Quarter Thing

Front 1

domain

Back 1

x, input, independent variable

Front 2

range

Back 2

y, output, depended variable, all set of y values

Front 3

function

Back 3

one to one relation in which each element of the domain is paired with one from the range, one y output for each x, x doesnt repeat

Front 4

vertical line test

Back 4

draw line across thing, if it crosses more than once it dont work

Front 5

symbolic representation

Back 5

f(x)=5x+7 basically an equation

Front 6

slope

Back 6

m=y2-y1/x2-x1

Front 7

rate of change

Back 7

def. of slop, how much one quality changes in relation to another quantity

Front 8

rise over run

Back 8

count how much it rises and runs from one point to another

Front 9

how to solve for x intercept

Back 9

plug in zero for y and solve for x

ex. g(x)=3/7x+2 do 0=3/7

Front 10

how to solve for y int

Back 10

plug in zero for x and solve for y

Front 11

solution of systems of linear equations

Back 11

where the lines cross you set linear equation to be equal

Front 12

when given two equations and said something like when will this have less than that

Back 12

equal equations to one another

Front 13

to find intersection of two functions

Back 13

equal them to one another

Front 14

ex. jack can eat 4 hotdogs in 7 min, function notation?

Back 14

y=4/7x

Front 15

if a<0 then?

Back 15

the parabola will be upside down

Front 16

if a>0 then?

Back 16

parabola will be up, POSITIVE

Front 17

how to know if an equation is quadratic

Back 17

look for x^2 should be = ax^2+bx+c

Front 18

when asked for range do?

Back 18

look for the C value and do a less or greater than that value, cause it is maximum or minimum

Front 19

when asked to graph quadratic function given something like this k(x)=1/4x^2+5

Back 19

make a t chart, plug in values for x both positive and negative

Front 20

if asked for perpendicular line

Back 20

flip over slope and change sign

Front 21

when given point and slope

Back 21

plug in point into equation with slope to find out y int.

Front 22

when given equation with x's like (x+2) (x+4)

remember to?

Back 22

make x's opposite on graph

Front 23

how do you get axis of symmetry

Back 23

count from one x to the other, middle value is axis

Front 24

how to find y intercept of a quadratic equation?

Back 24

make x= zero in the equation

Front 25

how to find vertex

Back 25

plug in axis of symmetry into equation

Front 26

if a problem has one of its zeros as simply x like in this problem -x(x-4

Back 26

it means one of the x's is going to be (0,0)

Front 27

when asked to write quadratic equation given only a graph

Back 27

find x coordinates, remember to switch them when doing actual equation, then plug in any other point in the parabola to find A value

Front 28

when factoring problems with a value as 1 like

v2+13v+36

Back 28

label b=13 C=36 then do t chart with bigger C on the left and B on the right so 36/13, factor 36 to look for something that gives you 13

Front 29

for problems with a other than 1 that are divisible by same number do this??

Back 29

divide it by common factor put number on outisde of parenthesis, factor normally

Front 30

when factoring indivisible values like 5x2-29x+20

Back 30

multiply a times b which becomes your new c value, once you have these make the block, top left goes A, bottom right is the number without variable

Front 31

when asked to solve equation by factoring

Back 31

make equations equal to zero, cancel out or factor and then make sure to make them the oppositete ex. 9 plus 5 would be (k-9) (k-5)

Front 32

when given only two things out of three like in this

6x2+12x

Back 32

look at what it is divisible until it cannot be done, things divided by would be out of parenthesis

ex. 6x2+12x, divide by 6 and x, get 6x(x+2)

Front 33

when asked to graph function like this

f(x)=x2+2x-3

Back 33

factor out the two x's or zeros, remember to flip it for graph, then axis symmetry and vertex