MATH 115 FINAL EXAM REVIEW
CORRECT 100%
Name the 3 possible limits of a sequence - ANSWER Limit of n as it approaches
positive infinity approaches L or a singular value
Limit of n as it approaches positive infinity is positive or negative infinity.
Limit of n as it approaches positive infinity Does Not Exist or DNE
What is the domain of a sequence?` - ANSWER The set of all natural numbers.
What is a convergent sequence? - ANSWER If the terms of a sequence approach a
finite value as n increases
What is a divergent sequence? What are the two possible cases of a divergent
sequence? - ANSWER A divergent sequence is one that does not approach a single
value as n increases.
There are two cases:
1) If the terms of the sequence increase or decrease without bound
2) If the terms of the sequence oscillate and never approach a single value
All inputs of the function have a unique output.
How to test if a function is one-to-one? - ANSWER I can test if a function is one-to-one if
it passes the horizontal line test
How to test if an expression/equation is a function? - ANSWER Using the vertical line
test.
What happens to the domain and range of a function once it is inverted? - ANSWER
The domain and ranged are flipped.
Ex:
f(x):
Domain: Set A
Range: Set B
f-1(x)
CORRECT 100%
Name the 3 possible limits of a sequence - ANSWER Limit of n as it approaches
positive infinity approaches L or a singular value
Limit of n as it approaches positive infinity is positive or negative infinity.
Limit of n as it approaches positive infinity Does Not Exist or DNE
What is the domain of a sequence?` - ANSWER The set of all natural numbers.
What is a convergent sequence? - ANSWER If the terms of a sequence approach a
finite value as n increases
What is a divergent sequence? What are the two possible cases of a divergent
sequence? - ANSWER A divergent sequence is one that does not approach a single
value as n increases.
There are two cases:
1) If the terms of the sequence increase or decrease without bound
2) If the terms of the sequence oscillate and never approach a single value
All inputs of the function have a unique output.
How to test if a function is one-to-one? - ANSWER I can test if a function is one-to-one if
it passes the horizontal line test
How to test if an expression/equation is a function? - ANSWER Using the vertical line
test.
What happens to the domain and range of a function once it is inverted? - ANSWER
The domain and ranged are flipped.
Ex:
f(x):
Domain: Set A
Range: Set B
f-1(x)
