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Question
If \[f\left( x \right) = \begin{cases}x^2 , & \text{ when } x < 0 \\ x, & \text{ when } 0 \leq x < 1 \\ \frac{1}{x}, & \text{ when } x \geq 1\end{cases}\]
find: (a) f(1/2), (b) f(−2), (c) f(1), (d)
Solution
Given:
\[f\left( x \right) = \begin{cases}x^2 , & \text{ when } x < 0 \\ x, & \text{ when } 0 \leq x < 1 \\ \frac{1}{x}, & \text{ when } x \geq 1\end{cases}\]
Now,
(a) \[f\left( \frac{1}{2} \right) = \frac{1}{2}\] [ Using f (x) = x, 0 ≤ x < 1]
(b) f ( -2) = ( - 2)2 = 4
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