Answer :
Answer:
Option C) f(x) = [tex]x^2 + 0.5[/tex]
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:
[tex]f(x) = ax + b[/tex]
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) = [tex]x^2 + 0.5[/tex]
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.