How do you identify if the following as linear or nonlinear y=5x-4?

1 Answer
Vinícius Ferraz
Jul 6, 2017

It's not linear.

Explanation:

If f were linear then f(lambda a) = lambda f(a) and f(a + b) = f(a) + f(b)

but f(x) = 5x - 4 => f(lambda x) = 5 lambda x - 4
ne lambda f(x) = 5 lambda x - 4 lambda

also

f(a + b) = 5(a + b) -4 ne f(a) + f(b) = 5a - 4 + 5b - 4

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