Shared Flashcard Set

Details

Calculus 180 Chapter 1, Section 3
N/A
11
Mathematics
Undergraduate 1
09/13/2009

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Cards

Term
What does y=f(x)+c do to the graph of f(x)?
Definition
shifts "c" units up
Term
What does y=f(x)-c do to the graph of f(x)?
Definition
shifts "c" units down
Term
What does y=f(x-c) do to the graph of f(x)?
Definition
shift "c" units right
Term
What does y=f(x+c) do to the graph of f(x)?
Definition
shift "c" units left
Term
What does y=c[f(x)] do to the graph of f(x)?
Definition
stretch vertically by a factor of "c"
Term
What does y=1/2[f(x)] do to the graph of f(x)?
Definition
compress vertically by a factor of "c"
Term
What does y=f(cx) do to the graph of f(x)?
Definition
compress horizontally by a factor of "c"
Term
What does y=f(x/c) do to the graph of f(x)?
Definition
stretch horizontally by a factor of "c"
Term
What does y=-f(x) do to the graph of f(x)?
Definition
reflect graph about "x" axis
Term
What does y=f(-x) do to the graph of f(x)?
Definition
reflect graph about "y" axis
Term
If f(x) and g(x) are added, subtracted, multiplied, or divided, what happens to the domain of the resulting function?
Definition
The domain is such that it complies with the original and resulting functions
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