Unit 1 A Flashcards

1
Q

if the leading coefficient is positive

A

open up, rise

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2
Q

if the leading coefficient is negative

A

open down, fall

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3
Q

if the leading degree is even

A

both ends will point in the same direction

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4
Q

if the leading degree is odd

A

both ends will point in opposite directions

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5
Q

relative/local extrema

A

where the function changes from increasing to decreasing (or vice versa) can be an endpoint – between two zeros there will be at least one

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6
Q

absolute/global extrema

A

the least or greatest y value of a function – can be an endpoint – all even degree polynomials will have one

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7
Q

points of inflection

A

where the graph changes from cu to cd

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8
Q

zeros are aka

A

x-ints, solutions, roots

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9
Q

multiplicity

A

the degree of the factor

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10
Q

odd multiplicity

A

cross

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11
Q

even multiplicity

A

bounce

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12
Q

complex numbers come in

A

pairs

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13
Q

fundamental theorem of algebra

A

if a polynoymial has a degree of x it will have x complex zeros

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14
Q

to solve nonlinear inequalities use

A

a sign chart

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15
Q

even functions are

A

symmetric with the y axis

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16
Q

odd functions are

A

symmetric about the origin

17
Q

in even functions y(x)

A

is the same as y(-x)

18
Q

in odd functions y(x)

A

is the opposite of -y(-x)

19
Q

limits

A

lim f(x) = +/- inf as x –> +/- negative inf

20
Q

to determine if something is a function use the…

A

vertical line test

21
Q

domain

A

x-values, input, independent

22
Q

range

A

y-values, output, dependent

23
Q

function

A

a relation that maps a set of inputs onto a set of outputs such that each input has exactly one output

24
Q

graph increasing

A

rising, positive slope, as inputs increase so do outputs

25
graph decreasing
falling, negative slope, as inputs increase outputs decrease
26
concave up
u, roc increasing
27
concave down
n, roc decreasing
28
slope equation
(y1-y2)/(x1-x2)
29
avg roc
slope between two points
30
inst roc
slope between two points that are REALLY close together
31
the roc of a linear function is...
constant
32
the roc of a quadratic function...
changes at a constant rate