Practice problem
What is the range of f(x)=x+1−xf(x) = \sqrt{x} + \sqrt{1 - x}f(x)=x+1−x?
(Hint: The maximum value of f(x)f(x)f(x) occurs at x=12x = \frac{1}{2}x=21 .)
(−∞,1](-\infty, 1](−∞,1]
[1,2][1, \sqrt{2}][1,2]
(0,1)(0, 1)(0,1)
[1,22][1, 2\sqrt{2}][1,22]
[1,∞)[1, \infty)[1,∞)
[0,1][0, 1][0,1]
(1,2)(1, \sqrt{2})(1,2)
(−∞,2](-\infty, \sqrt{2}](−∞,2]
Type a concept, like “slope” or “photosynthesis”.