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

1 Answer

Vinícius Ferraz

Jun 28, 2017

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.

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