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1
Day 17
Lecture 15
Found in Translation
Expressing Ourselves
•
An
Expression
is a sentence or phrase completely written in
mathematical
_____________
(with symbols)
Phrase:
“The Sum of two with three.”
Translation:
•
An ________________ is a special kind of
Expression
involving
two expressions linked together by an __________ sign,
whose translation in words is “equal to” or “is [the same as]”.
Sentence: “The fraction 4 of 10 is the same as the fraction 2 of 5.”
Translation:
2
3
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The Great Unknown
•
A ____________ is a symbol for something that can change or is otherwise
unknown.
Example: The number of people getting a passing grade at the end of the semester.
Example:
The number of people getting an A in the course right now is 3 but…
•
They are usually represented by letters or other symbols which remind you of
what they represent like…
_____ for an xcoordinate,
_____ for a ycoordinate
_____ for a function’s [output] value at the input value ______.
•
Because of this, functions can be defined via
Equations
by translating
“The ycoordinate is the output value of f evaluated at the xcoordinate” into
3
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Functions you should Know, part 1
•
Have you ever done something like this to a friend:
Friend: “So what’d you do last night?”
You: “Your Ma Ma.”
Friend: “Funnyyy.
.. You want to grab something to eat?”
You: “Your Ma Ma.”
Friend: “Is that all you’re going to say?”
You: “Your Ma Ma.”
•
Now compare with:
Q: What does 1 map to?
A: 3
Q: What does 2 map to?
A: 3
Q: What does
map to?
A: 3
4
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 Fall '08
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