Chapter One: Relations and Functions Flashcards

1
Q

standard equation of a line

A

Ax + By = C

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2
Q

slope-intercept form of a line

A

y = mx + b

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3
Q

point-slope form of a line

A

y - y1 = m(x - x1)

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4
Q

slope formula

A

m = (y2 - y1) / (x2 - x1)

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5
Q
A

f(x) = x

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6
Q
A

f(x) = x2

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7
Q
A

f(x) = x3

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8
Q
A

f(x) = √x

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9
Q
A

f(x) = |x|

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10
Q
A

f(x) = [x]

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11
Q

standard/quadratic form of a parabola

A

f (x) = ax2 + bx + c

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12
Q

vertex form of a parabola

A

f(x) = a(x-h)2 + k

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13
Q

vertex (h, k)

A

h = -b/2a

k = f(h)

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14
Q

even function

A

f(-x) = f(x) and f(x) = f(-x)

symmetric across the y axis

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15
Q

odd function

A

f(-x) = -f(x)

symmetric about the origin

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16
Q
A

the difference quotient

17
Q

discriminants

A

positive: 2 real roots
zero: 1 real root
negative: no real roots (two complex roots)

18
Q

the distance formula

A
19
Q

the midpoint formula

A
20
Q

equation of a circle

A

(x-h)2 + (y-k)2 = r2