Algebra Final Flashcards

Formulas

1
Q

relation

A

a set of ordered pairs
ex.: (-9,4)

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2
Q

domain

A

set of all first components of the ordered pairs

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3
Q

where is domain found

A

domain is found along the x axis or read from left to right on a graph

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4
Q

range

A

set of all second components of the ordered pairs

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5
Q

where is range found

A

range is found along the y axis or read from the bottom of the graph to the top

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6
Q

function

A

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

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7
Q

examples of a function

A

x1 to y1
x2 to y2

x1 and x2 to y1

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8
Q

not a function

A

x1 to y1 and y2
or known as a vertical line

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9
Q

x-intercept

A

points where the graph touches the x-axis ex.: (9,0)

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10
Q

y-intercept

A

points where the graph touches the y-axis ex.:(0,9)

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11
Q

F(X) =

A

Y

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12
Q

slope

A

steepness of a line
it is independent of the two points chosen on the line

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13
Q

To find X-intercept

A

In the equation let y = 0

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14
Q

To find Y-intercept

A

in the equation let x = 0

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15
Q

Formula to find slope

A

M = Y2-Y1 / X2-X1

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16
Q

Horizontal line has a slope of

A

0

16
Q

Vertical line has a slope of

A

NA it is undefined

16
Q

Undefined slope means

A

2/0 which means is can only rise so there would not be a real slope

17
Q

Point Slope Form

A

Y-Y1 = M (X-X1)

18
Q

Slope Intercept Form

A

Y = MX + B

19
Q

Slope of parallel line is

A

the same constant slope

20
Q

Slope of perpendicular lines are

A

negative reciprocals of each others slope

21
Q

<

A

less than

22
Q

>

A

greater than

23
Q

Piecewise Function

A

Function that you plug in an addition X in that follows the equation to find Y and another point.
This is a linear function or a double linear function

24
Q

A piecewise function can

A

Have two points on the same x-axis. One is open and one is closed

25
Q

A piecewise function can not

A

have two defined points on the same Y-axis whether they are open or closed or matching or opposite