Problem

Suppose that the function $f$ is defined on the interval $[-2,2)$ as follows. \[ f(x)=\left\{\begin{array}{ll} -2 & \text { if }-2 \leq x<-1 \\ -1 & \text { if }-1 \leq x<0 \\ 0 & \text { if } 0 \leq x<1 \\ 1 & \text { if } 1 \leq x<2 \end{array}\right. \] Find $f(-2), f(-0.25)$, and $f(1)$

Solution

Step 1 :Since \(-2 \leq -2 < -1\), we have \(f(-2) = -2\).

Step 2 :Since \(-1 \leq -0.25 < 0\), we have \(f(-0.25) = -1\).

Step 3 :Since \(1 \leq 1 < 2\), we have \(f(1) = 1\).

Step 4 :Therefore, \(f(-2), f(-0.25), f(1)\) are \(-2, -1, 1\) respectively.

Step 5 :So the final answer is \(\boxed{-2, -1, 1}\).

From Solvely APP
Source: https://solvelyapp.com/problems/37331/

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