| Piecewise defined FUNctions |
Given the function defined by:
Determine the ordered triple (a, b, c) so that all of the following conditions are true:
1. f (x) is continuous
2. f (3) = 20
3.  |
Problem Moderated by: MrT |
| Problem Solution |
The first statement allows us to say that a(2)2 + b(2) = b(2) + c, which reduces to 4a = c.
The second statement allows us to say that b(3) + c = 20.
The third statement allows us to say that a(-2)2 + b(-2) = 0, which reduces to 2a = b.
Substituting appropriately gives us the ordered triple (2, 4, 8). |
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