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9 Cards in this Set
- Front
- Back
- 3rd side (hint)
Describe 4 properties of this graph |
Continuous (+smooth) Multi-valued Even (symmetric) Odd (antisymmetric) |
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Define a Single valued function (+ example) |
Any input, x, has only one output, y I.E y = x² |
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Define continuous function (+ draw a graph of a discontinuous graph) |
Any small changes in input,x, result in arbitrarily small changes in outfit function,y
Pen doesn't leave paper when drawing graph |
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Define a smooth function (+ draw a continuous but not smooth graph) |
All its derivatives are continuous It's class C^(k) smooth if all derivatives cup to f^(k) are continuous |
All smooth functions are continuous |
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Define a Monotonic function |
Increase in x = increase / decrease in y |
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Define Odd functions (+ example) |
f(-x) = -f(x) X^(odd) are all odd |
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Define Even functions |
f(-x) = f(x) X^(even) |
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What are the three conditions for a continuous function f(x) at a |
f(x) is defined at x = a The limit as it tends to a exists And it is equal to the value at a |
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Define differentiability and condition |
Must be smooth Functions derivative exist at each point within the domain |
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