First slide

Algebra of real valued functions

Question

Let f : {(1,1), (2,3), (0,-1), (-1,-3)} be a function from z to z defined by f(x) = ax+b, for some integers a, b then (a, b) =

Moderate

A

(-1,2)
B

(2,-1)
C

(3,-2)
D

(0,3)

Solution

$f (x) = a x + b f (1) = 1 \Rightarrow a + b = 1 f (2) = 3 \Rightarrow 2 a + b = 3 s o l v i n g a = 2 b = - 1$

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