Question

Find the domain and sketch the graph of the function.

\(f\left( x \right) = 2 - 0.4x\).

Short answer

The domain of the function is\(\left( { - \infty ,\;\infty } \right)\). The graph of the given function is as follows.

Step-by-step solution

Describe the domain

The domain is the set of all values at which the given function is defined.

Find the domain of the function \(f\left( x \right) = 2 - 0.4x\)and sketch the graph of the given function

It can be observed that the given function is a polynomial function of degree\(1\), and even simpler, this is an equation of the straight line of the form\(y = mx + b\). It is known that all the polynomial functions have a domain\(\left( { - \infty ,\;\infty } \right)\).

Therefore, the domain of the function is\(\left( { - \infty ,\;\infty } \right)\).

Draw the graph of the function \(f\left( x \right) = 2 - 0.4x\) as follows.