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

The graph of f(x) is a parabola with vertex (0, 0).

Physical constraints: x > 0, 10-x > 0 → x < 10. Also x > 0. Domain: (0,10).

Determine whether the following curve represents ( y ) as a function of ( x ): a circle ( x^2 + y^2 = 1 ).

Thomas Calculus 13th Edition Exercise 1.1 solution , domain and range , even and odd functions , piecewise functions , difference quotient , function graphs .