Question

What is the range of the function `f(x) = (x - 2)^2 + 2`?

Answer 1

See explanation.

Explanation:

The graph of this function is a parabola with vertex at `(2,2)` and the graph is going "upwards" from the vertex (see graph)

graph{x^2-4x+6 [-9.96, 10.04, -0.68, 9.32]}

From this graph you can say that the function's range is `[2;+oo)`