Shared Flashcard Set

Details

Calculus 180 Chapter 1, Section 1
N/A
13
Mathematics
Undergraduate 1
09/12/2009

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Cards

Term
What is Calculus?
Definition
Mathematics of change
Term
What are the 4 Ways to Represent a Function?
Definition
1) Verbally
2) Numerically
3) Visually
4) Algebraically
Term
How do you represent a function verbally?
Definition
Description in words
Term
How do you represent a function numerically?
Definition
table
Term
How do you represent a function visually?
Definition
graph
Term
How do you represent a function algebraically?
Definition
explicit formula
Term
What is a Function?
Definition
a rule that assigns to each element "x" in a domain exactly one element "y"
Term
What does the Vertical Line Test determine?
Definition
It determines that a curve in the "xy" plane is the graph of a function if and only if no vertical line intersects the curve more than once
Term
What is a Piecewise Function?
Definition
a function defined by more than 1 formula on different parts of its domain
Term
What is an Even Function?
Definition
If a function "f" satisfies f(-x)=f(x) for every "x" in its domain, then it has symmetry about the "y" axis
Term
What is an Odd Function?
Definition
If a function "f" satisfies f(-x)=-f(x), then it has symmetry about the origin (must go thru origin)
Term
When is a function increasing?
Definition
A function is increasing on an interval if f(x1)
Term
When is a function decreasing?
Definition
A function is decreasing on an interval if f(x1)>f(x2) whenever x1
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