Question

Let f = {(1, 1), (2,3), (0, -1),(-1, -3)} be a
function from Z - Z defined by f(x) = ax + b
for some integers a and b. Determine a and b.
​

Answer 1

Answer:

a=2 b=-1

Step-by-step explanation:

Set ={(1,1),(2,3),(0,1),(-1,-3)}

f(x) = ax + b

we also write that

y = ax + b

put the values of x and y in that equation

1. 1 = 1a + b
2. 3 = 2a + b

by using elimination method

a + b = 1

2a + b = 3

- - -

= -a + 0 = -2

so a = 2 and b= -1

I hope it helpful for u