Functions - characteristics - even and odd functionss.
Test Yourself 1.
Even functions look like: f(x) = f (-x) |
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Odd functions look like: f(x) = -f (-x) |
Even functions | 1. | |
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Odd functions | 9. | |
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Graphs - given. | 13. | |
Graphs. | 15. A function is partly defined as f(x) = 2x - 1 for x > 0. It is also known that the function f(x) is an odd function. Answer.f(x) = 3x - 1 for x > 0. f(x) = 0 for x = 0. f(x) = 3x + 1 for x < 0. |
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17. The above graph shows part of the odd function y = f(x). Sketch a complete graph of the function. |
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Even and odd functions. | 23. Determine if the function is an even, odd or neither function. |
Find a function g(x) if f(x) is an odd function and
Answer.g(x) = -x2. |
26. Prove is an even function. | ||
Manipulation | ||
29. If and g(x) = x2, find the composite function f(g(x)). State the domain and range of this composite function. |