Question

If f:z _ z is a linear function, defined by f={(1,1) (0,-1), (2,3)}.find f(x).

Answer 1

Answer:

If f={(1,1),(2,3),(0,−1),(−1,−3)} be a linear function z to z.

By two points (1,1) & (2,3) we can draw a linear equation.

(y−1)=

2−1

3−1

(x−1)

y−1=

1

2

(x−1)

y−1=2x−2

y+2−1=2x

y−2x+1=0

y=2x−1

Hence linear function will be f(x)=2x−1.