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MATH2400H Final Definitions Quiz Stats

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66.7%
50%
50%
a*1=amultiplicative identity
50%
a*(a^-1)multiplicative inverse
50%
a(b+c)=a*b+a*cdistributive property
50%
|a| = {a, a≥0 and -a, a≤0absolute value
50%
If there is a number x such that x≥a for every a in A, then x is a _________ for Aupper bound
50%
x is this if it exhibits both of these properties: 1) x is an upper bound for A 2) if y is an upper bound for A, and x≤yleast upper bound
50%
Set containing all m/n with m∈all integers and n∈ all integers ≠ 0rational numbers
50%
f(x)=f(-x)even function
50%
f(x)=-f(-x)odd function
50%
33.3%
(a*b)*c=a*(b*c)associative property of multiplication
33.3%
a*b=b*acommutative property of multiplication
33.3%
33.3%
For every number a, one and only one of the following holds: a=0, a>0, or atrichotomy
33.3%
An element, say x, in A that is greater than or equal to all elements in A; i.e. x≥y, x,y∈Alargest element
33.3%
An element, say x, in A that is less than or equal to all elements in A; i.e. x≤y, x,y∈Asmallest element
33.3%
2keven number
33.3%
2k+1odd number
33.3%
if lim f(x) as x→a = f(a) the function is ________continuous at a
33.3%
The function f is _________ if lim[(f(a+h)-f(a))/h] as h→0 existsdifferentiable at a
33.3%
A point x in A is a __________ for f on A if f(x)≥f(y) for every y in Amaximum point
33.3%
a number x such that f'(x) = 0critical point
33.3%
The number f(x) when f'(x) = 0critical value
33.3%
Given a,b∈P, a*b∈Pclosure under multiplication
16.7%
The set is called this if 1) 1 is in the set 2) k+1 is in it anytime that k is in itinductive set
16.7%
(n/k)binomial coefficient
16.7%
Derivative of f is a positive constantstrictly increasing
16.7%
f(a)≠f(b) when a≠bone to one function
16.7%
f o gcomposition function
16.7%
Given ε>0, there is a δ>0 such that 0epsilon-delta definition of limit
16.7%
if f is continuous at x for x∈(a,b)continuous on (a,b)
16.7%
if f is continuous at x for x∈(a,b) and lim f(x) as x→a⁺ = f(a) and lim f(x) as x→b⁻ = f(b)continuous on [a,b]
16.7%
line through (a, f(a)) with slope f'(a)tangent line at (a, f(a))
16.7%
A point x in A is a ___________ for f on A if there is some δ>0 such that x is a maximum point for f on A∩(x-δ,x+δ)local maximum point
16.7%
A point x in A is a ___________ for f on A if there is some δ>0 such that x is a minimum point for f on A∩(x-δ,x+δ)local minimum point
16.7%
Derivative of f is a negative constantstrictly decreasing
0%
0%

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Created Dec 10, 2013
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