Science Quiz / MATH2400H Final Definitions

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Can you name the Mathematical Definitions

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HintAnswer
2k+1
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)
Given ε>0, there is a δ>0 such that 0
f(a)≠f(b) when a≠b
(n/k)
f(x)=f(-x)
A point x in A is a __________ for f on A if f(x)≥f(y) for every y in A
Derivative of f is a positive constant
a+b=b+a
if lim f(x) as x→a = f(a) the function is ________
a number x such that f'(x) = 0
The function f is _________ if lim[(f(a+h)-f(a))/h] as h→0 exists
f(x)=-f(-x)
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≤y
a+0=a
 
line through (a, f(a)) with slope f'(a)
a*b=b*a
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)
Derivative of f is a negative constant
HintAnswer
a+(-a)=0
Set containing all m/n with m∈all integers and n∈ all integers ≠ 0
a*(a^-1)
a*1=a
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)
(a*b)*c=a*(b*c)
For every number a, one and only one of the following holds: a=0, a>0, or a
f o g
The set is called this if 1) 1 is in the set 2) k+1 is in it anytime that k is in it
if f is continuous at x for x∈(a,b)
The number f(x) when f'(x) = 0
An element, say x, in A that is less than or equal to all elements in A; i.e. x≤y, x,y∈A
2k
|a| = {a, a≥0 and -a, a≤0
Given a,b∈P, a+b∈P
If there is a number x such that x≥a for every a in A, then x is a _________ for A
a(b+c)=a*b+a*c
(a+b)+c=a+(b+c)
Given a,b∈P, a*b∈P
An element, say x, in A that is greater than or equal to all elements in A; i.e. x≥y, x,y∈A

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