Verified Answer :

Using function concepts, it is found that:

  • The domain is all real values.
  • The range is: \((2, \infty)\).

What are the domain and range of a function?

  • The domain of a function is the set that contains all possible input values.
  • The range of a function is the set that contains all possible output values.

For a quadratic function in the following format:

\(f(x) = ax^2 + bx + c\)

  • The domain is all real values.
  • If a > 0, the range is \(\left(-\frac{b^2 - 4ac}{4a}, \infty\right)\).

In this problem, the function is:

\(f(x) = x^2 - 2x + 3\)

Hence the coefficients are: \(a = 1, b = -2, c = 3\).

Then:

\(-\frac{b^2 - 4ac}{4a} = -\frac{(-2)^2 - 4(1)(3)}{4} = 2\)

Hence, the range is \((2, \infty)\).

You can learn more about domain and range at https://brainly.com/question/17732416

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