Question

What are the extrema of `f(x) = 1 - sqrt(x)`?

Answer 1

Max f = 1. There is no minimum.

Explanation:

`y=f(x)=1-sqrtx`. Graph is inserted.

This represents a semi parabola, in the quadrants `Q_1 and Q_4`,

wherein x >=0.

Max y is at the end (0, 1). Of course, there is no minimum.

Note that, as `x to oo, y to -oo`.

The parent equation is `(y-1)^2 = x` that can be separated into

`y=1+-sqrtx`.

graph{y+sqrtx-1=0 [-2.5, 2.5, -1.25, 1.25]}