2-4 Flashcards

(35 cards)

1
Q

what is the constant of variation in a direct variation

A

the slope

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2
Q

what is a direct variation

A

y=mx

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3
Q

slope intercept form

A

y=mx+b

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4
Q

point slope form

A

(y-y1) = m(x-x1)

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5
Q

formula to find slope

A

(y1-y2) / (x1-x2)

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6
Q

standard form

A

Ax + By = C

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7
Q

what does standard form need to have

A

positive A, no fractions

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8
Q

all direct variations go through the

A

orgin (0,0)

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9
Q

parallel lines have the

A

same slope, different y intercept

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10
Q

perpendicular lines have the

A

opposite reciprocal slope, different y intercept

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11
Q

what is the slope of a line perpendicular to m= 4

A

-1 / 4

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12
Q

y intercept

A

(0,y)

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13
Q

x intercept

A

(x,0)

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14
Q

how to find the x intercept

A

set y = to zero

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15
Q

slope is

A

rise / run or delta y / delta x

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16
Q

delta means

A

the change in

17
Q

horizontal lines have a slope of

18
Q

vertical lines have a slope of

19
Q

an equation is a function when there is no repetition in the

20
Q

(x,y) is also

A

(domain, range) , (input, output)

21
Q

when you write the domain and range you have to use

22
Q

a function is linear when the domain and range change by the same

A

constant value

23
Q

function notation

A

f (x) = x + 2

24
Q

f (x) or f of x is also called

25
How should you write the domain and range (not in braces)
Domain: the lowest x value ≤ x ≤ highest x value Range: lowest y value ≤ y ≤ highest y value
26
write the domain and range as an inequality of a line who's domain is {-9, 7, 6, 5, 10} and range is {-3, 5, 10, 12}
Domain: -9≤ x ≤ 10 Range: -3≤ y ≤ 12
27
what is a relation
a set of ordered pairs
28
if a line goes on forever on both sides the domain and range would be
all real numbers or (-infinity, infinity)
29
draw graph quadrents
one is top left, two is top right, three is bottom left, four is bottom right
30
always write intercepts as
a point
31
function families are functions that have the same
exponents
32
function families are called families because their - will look similar
graph
33
what is the one function family that will have random graphs
to the power of 4
34
which function family creates lines
exponent of 1
35