Given no other restrictions, what are the domain and range of the following funtction? f (x) = x^2-2x+2

Question

Mathematics

Lawrence Hood

7 January, 01:43

Given no other restrictions, what are the domain and range of the following funtction? f (x) = x^2-2x+2

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Maggie Simmons · Answer 1

F (x) = x² - 2 x + 2

The vertex form:

f (x) = (x² - 2 x + 1) - 1 + 2 = (x - 1) ² + 1

Coordinates of the vertex are: (1, 1).

Domain: x ∈ R

Range: x ∈ [ 1. + ∞)