By checking the piecewise function and evaluating it at x = 1, the result of the piecewise function is equal to - 4.
How to evaluate a piecewise function at a given point of the real set
Piecewise functions are functions formed by several expressions constrained by intervals in the real set. In this case we find a piecewise functions consisting in two expressions constrained by two intervals in the real set. The piecewise function is defined by these expressions:
- f(x) = (x + 2)² - 5 for x ≠ 1, that is x < 1 and x > 1.
- f(x) = - 4 for x = 1.
Then, we need to evaluate the piecewise function at x = 1. By direct inspection, we conclude that the value according to the piecewise function evaluated at x = 1 is equal to - 4.
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