Hint  Answer 
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∩(xδ,x+δ)  
Derivative of f is a negative constant  
 Hint  Answer 
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∩(xδ,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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