Let f = (–1, 3), (0, –1), (2, –9) be a linear function from Z int… - Vidyadip

Question

Let f = {(–1, 3), (0, –1), (2, –9)} be a linear function from Z into Z. Find f(x)

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Answer

The linear equation is f(x) = ax + b f(– 1) = 3 a(– 1) + b = 3 –a + b = 3 ….(1) f(0) = – 1 a(0) + b = – 1 0 + b = – 1 b = – 1 Substitute the value of b = – 1 in (1) –a – 1 = 3 –a = 3 + 1 –a = 4 a = – 4 ∴ The linear equation is – 4(x) – 1 = – 4x – 1 or – (4x + 1)

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