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Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions2 Marks
Question
Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a linear function from Z into Z. Find f(x).
✓

Answer

Since f is a linear function, f(x) = mx + c.Since (1, 1), (0, – 1) $\in$ R, f (1) = m + c = 1 and f (0) = c = –1.
This gives m = 2 and hence f(x) = 2x – 1

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