Which of the following functions is NOT linear?

A
f(x) = x + 0.5

B
f(x) = -x + 0.5

C
f(x) = x2 + 0.5

D
f(x) = 0.5x

Option C) f(x) =

Step-by-step explanation:

We are given the following in the question:

We have to select non-linear function.

A linear function is of the form:

where a and b are constants.

A) f(x) = x + 0.5

Comparing we get,

a = 1

b = 0.5

Thus, it is a linear function.

B) f(x) = -x + 0.5

Comparing we get,

a = 1

b = 0.5

Thus, it is a linear function.

C) f(x) =

The highest degree of function is  2, hence, it is not a linear function.

D) f(x) = 0.5x

Comparing we get,

a = 0.5

b = 0

Thus, it is a linear function.

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