Studied by 9 peoplef(x)=
x^3
f(x)=
IxI
f(x)=
x^4
f(x)=
√x
f(x)=
1/x
f(x)=
1/x^2
domain for polyomials
(-∞,∞)
domain for fractions
x=0
notation of domain for fractions
(-∞,undefined)U(undefined,∞)
domain for radicals
radicand≥0
notation of domain for radicals
(-∞,undefined radicand] or [undefined radicand,∞)
domain for radicals in the denominator of a fraction
radicand>0
notation for domain for radicals in the denominator of a fraction
(-∞,undefined radicand)U(undefined radicand,∞)
radian and degree conversion
π/180°
addition formula for sin
sin(x+y)=sinxcosy+cosx+siny
addition formula for cos
cos(x+y)=cosxcosy-sinxsiny
addition formula for tan
tan(x+y)=[tanx+tany]/[1-tanxtany]
double angle formula for sin
sin2x=2sinxcosx
double angle formula for cos
cos2x=cos^2x-sin^2x
f(x)=
sinx
f(x)=
cosx
f(x)=
tanx
trig identity of sin and cos = 1
sin^2x+cos^2x=1
definition of a limit (description)
the limit of f(x) as x approaches a, equals L
definition of a limit (formula)
lim f(x) = L
(x–>a)
definition of one-sided limits (left-hand limit)
the limit of f(x) as x approaches a from the left is equal to L
definition of one-sided limits (left-hand limit)
the limit of f(x) as x approaches a from the right is equal to L
the limit of f(x) = L as x–>a [is defined if]
the left and right limits are the same
infinite limits are _
vertical asymptotes
function f is continuous at a number a if (reason 1/3)
f(a) is defined [a is the domain of f]
function f is continuous at a number a if (reason 2/3)
lim f(x) exists [the left and right limits are the same]
function f is continuous at a number a if (reason 3/3)
lim f(x) = f(a)
speed is the _ of distance over time
slope
Note
Flashcard