Question

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Explanation:

Step1: Identify x values for integer results

We need \(x\) such that \(\frac{1}{4}x\) is integer, so \(x\) divisible by 4: \(x=-4,0,4\)

Step2: Calculate \(\frac{1}{4}x\) for \(x=-4\)

$\frac{1}{4} \times (-4) = -1$

Step3: Calculate \(y\) for \(x=-4\)

$y = -1 + 2 = 1$

Step4: Calculate \(\frac{1}{4}x\) for \(x=0\)

$\frac{1}{4} \times 0 = 0$

Step5: Calculate \(y\) for \(x=0\)

$y = 0 + 2 = 2$

Step6: Calculate \(\frac{1}{4}x\) for \(x=4\)

$\frac{1}{4} \times 4 = 1$

Step7: Calculate \(y\) for \(x=4\)

$y = 1 + 2 = 3$

Answer:

\(x\)	\(\frac{1}{4}x\)	\(y=\frac{1}{4}x+2\)
0	0	2
4	1	3