Question

Is y=5x+1/2 a linear function?

Answer 1

No, it is not.

Explanation:

`f(x)` is linear if `f(a + b) = f(a) + f(b) and f(lambda x) = lambda f(x)`

`f(x) = 5x + 1/2`

`f(lambda x) = 5 lambda x + 1/2`

`lambda f(x) = 5 lambda x + lambda/2`

`1/2 = lambda / 2 => lambda = 1` and not for all lambda's.