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Definition
| A function is a rule that assigns a unique value to each value x in a set D. |
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Term
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Definition
-The domain is the set D of a function.
(Independent Variables/Input)
-The range is the set of all values of f(x) produced as x varies over the domain. (Dependent Variables/Output) |
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Definition
A function F(x) will have one unique output for each input.
When looking at the graph, if you can (at any point) draw a vertical line which intersects the line at more than one point, then it fails this test. |
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Definition
y=f(g(x))
-Evaluated by y=f(u), where u=g(x).
-The domain consists of all x in the domain of g(x) which also reside in the domain of f(u) [which is also the range of g(x)], where u=g(x). |
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Definition
| A line that goes through any two points on a curve. |
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Definition
Average Rate of Change between two points.
Change in y / change in x =
f(x+h)-f(x)/(x+h)-x =
f(x+h)-f(x)/ h |
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Definition
-Has the property that
f(-x)=f(x), for all x in the domain.
-Symmetric about the y-axis. |
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Definition
-Has the property that
f(-x)=-f(x), for all x in the domain.
-Symmetric about the origin. |
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