Question

Find the domain and sketch the graph of the function.

\(F\left( x \right) = {x^2} - 2x + 1\).

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 \(f\left( x \right) = {x^2} - 2x + 1\) and sketch the graph of the given function

The given function is\(f\left( x \right) = {x^2} - 2x + 1.\)

The domain of the given function is a set of all the values of\(x\)for which the function is defined.

The given function is defined for all real values of\(x\).

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

Draw the graph of the function \(f\left( x \right) = {x^2} - 2x + 1\) as follows.