Term
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Definition
| One easy way to test for the continuity of a function is to see whether the graph of a function can be traced with a pen without lifting the pen from the paper. |
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Term
| Increasing and Decreasing Functions |
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Definition
The interval at which the function increases or decreases
Pierre the Mountain Climbing Ant is walking uphill... Remember that Pierre always walks from left to right for these.
[image] |
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Term
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Definition
A function with a range that is a bounded set. The range must have both an upper bound and a lower bound
[image] |
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Term
| Local and Absolute Extremas |
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Definition
| any point at which the value of a function is largest (a maximum) or smallest (a minimum). |
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Term
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Definition
A function of f is even if f(-x)=f(x)
Ex)x^2 & |x|
A function f is odd if f(-x)= -f(x)
Ex) x, x^3, 1/x |
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Term
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Definition
| Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound. |
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Term
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Definition
The end behavior of a function describes how the function behaves at either end of the graph, or what happens to the value of f(x) as x increases or decreases without bound
Left-End Behavior (as x becomes more and more negative):
[image]
Right-End Behavior (as x becomes more and more positive): [image] |
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