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Let f= {(1,1),(2,3),(0,-1),(-1,-3)} be a linear function from Z into Z. Find f(x) ). |
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Answer» Since/is a linear function. ∴ f{x) = ax + b But (0,-1) ∈ f . f(0) ∴ a(0) + b ⇒ -1 = b Similarly, (1, 1) ∈ f ∴ f(1) = a(1) +a(1) + b ⇒ 1= a + b ∴ a = 2 ∴ f(x) = 2x -1 |
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