CHAPTER 7 Flashcards

1
Q

Linear function

A

f(x) = mx + b

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2
Q

y = mx + b

A

slope-intercept from

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3
Q

zero

A

X intercept

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4
Q

how to find x-intercept

A

-b/m

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5
Q

m>0

A

increasing

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6
Q

m<0

A

decreasing

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7
Q

What happens when m = 0

A

no slope

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8
Q

what happens when b = 0

A

intersects 0,0

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9
Q

what happens when m and b = 0

A

x axis

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10
Q

identity function

A

linear function defined by f(x)=x

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11
Q

identity function denoted by

A

I

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12
Q

analogous

A

similar

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13
Q

f*f-1=

A

I

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14
Q

Constant function

A

f(x)=b

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15
Q

Directly proportional function

A

f(x)=kx

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16
Q

constant of proportionality

A

in directly proportional function, k is nonzero and any real number of

f(x) = kx

17
Q

in directly proportional function, there is a zero. True of false

A

true

18
Q

What is the only zero in a directly proportional function

A

x=0

19
Q

average rate of change of f(x) = mx+b is _ over any interval on the x-axis and is the _

A

constant, slope

20
Q

difference quotient of linear function

A

slope

21
Q

standard form

A

Ax+By=C

B is nonzero

22
Q

point-slope form

A

y-y2=m(x-x2)

m is nonzero
x,y is a point
x2,y2 is another point