parity f(x)=a*x+b — step-by-step solution

Let's study the parity of

a x + b

with respect to

x

The domain is

x \in ℝ

This domain is symmetric about 0: if

x

is in the domain, -

x

is too

Replace

x

by -

x

: f(-

x

) =

a \cdot (- x) + b

⇥Let's calculate:

a \cdot (- x) + b

⇥ⓘ The minus sign is placed in front of the product:

a \cdot (- x)

- a x

⇥

- a x + b

The calculations prove neither parity identity

▶Parity: $undetermined$