Problem 2-1: Linearity of Functions


Which one(s) of the following functions is linear?

a)  y=x+1.
b)  y=2x+1.
c)  y=1.
d)  y=x^2+x+1.
e)  y=x^1+1.
f)  y=\frac{1}{x}.
g)  y=\sin(x).

h)  y=\sqrt{x}.
i)  y=x+\frac{1}{1-x}.

j)  5x+2y-1=0.
k)  y=x+c^2. ( c is an arbitrary constant).

Solution
a) Linear
b) Linear
c) Linear
d) Nonlinear
e) Linear
f) Nonlinear

g) Nonlinear
h) Nonlinear
i) Nonlinear
j) Linear

k) Linear

Published by Yaz

Hi! Yaz is here. I am passionate about learning and teaching. I try to explain every detail simultaneously with examples to ensure that students will remember them later too.

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