MATH 161: Unit One
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Last updated 2:35 AM on 8/30/23
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33 Terms
1
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f(x)=
x^3
2
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f(x)=
IxI
3
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f(x)=
x^4
4
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f(x)=
√x
5
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f(x)=
1/x
6
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f(x)=
1/x^2
7
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domain for polyomials
(-∞,∞)
8
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domain for fractions
x=0
9
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notation of domain for fractions
(-∞,undefined)U(undefined,∞)
10
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domain for radicals
radicand≥0
11
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notation of domain for radicals
(-∞,undefined radicand\] or \[undefined radicand,∞)
12
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domain for radicals in the denominator of a fraction
radicand>0
13
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notation for domain for radicals in the denominator of a fraction
(-∞,undefined radicand)U(undefined radicand,∞)
14
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radian and degree conversion
π/180°
15
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addition formula for sin
sin(x+y)=sinxcosy+cosx+siny
16
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addition formula for cos
cos(x+y)=cosxcosy-sinxsiny
17
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addition formula for tan
tan(x+y)=\[tanx+tany\]/\[1-tanxtany\]
18
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double angle formula for sin
sin2x=2sinxcosx
19
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double angle formula for cos
cos2x=cos^2x-sin^2x
20
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f(x)=
sinx
21
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f(x)=
cosx
22
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f(x)=
tanx
23
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trig identity of sin and cos = 1
sin^2x+cos^2x=1
24
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definition of a limit (description)
the limit of *f(x)* as *x* approaches *a*, equals *L*
25
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definition of a limit (formula)
lim *f(x)* = *L*
(*x–>a*)
(*x–>a*)
26
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definition of one-sided limits (left-hand limit)
the limit of *f(x)* as *x* approaches *a* **from the left** is equal to *L*
27
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definition of one-sided limits (left-hand limit)
the limit of *f(x)* as *x* approaches *a* **from the right** is equal to *L*
28
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the limit of f(x) = L as x–>a \[is defined if\]
the left and right limits are the same
29
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infinite limits are _
vertical asymptotes
30
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function *f* is **continuous at a** **number** *a* if (reason 1/3)
*f(a)* is defined \[*a* is the domain of *f*\]
31
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function *f* is **continuous at a** **number** *a* if (reason 2/3)
*lim f(x)* exists \[the left and right limits are the same\]
32
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function *f* is **continuous at a** **number** *a* if (reason 3/3)
lim f(x) = f(a)
33
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speed is the _ of distance over time
slope
Note 
Flashcards (260)