Which piecewise function is represented below fx x2 x 1 fx

Which piecewise function is represented below? f(x) = x^2 x 1 f(x) = -x + 1 x 1

Solution

The two parts are a parabola and a straight line;
From the graph we see that at x=1 f(x)= 1; and the straight line starts after x=1 and has a negative slope (=-1)
Thus f(x) = x² for x<=1 and f(x) = -x+1 for x>1; Hence the answer is b;