state the domain and range, the restrictions, the intervals of increasing and decreasing, the roots, y-intercepts, and vertices
f(x)=+√x-2
+23246 y = √(x) - 2
Domain: set of all x-values: x ≥ 0 (x can't be negative because you can't find the square root of a negative)
Range: set of all y-values: y ≥ -2 (the smallest y-value occurs when the x-value is the smallest: x = 0)
Restrictions: see domain and range
Increasing: the function (y-value) increases continuously as x gets larger.
Decreasing: the function never decreases.
Roots: when y = 0 ---> 0 = √(x) - 2 ---> 2 = √(x) ===> x = 4
y-intercepts: when x = 0 ---> y = √(0) - 2 ---> y = -2
vertices: possibly at (0, -2) (if there is a vertex)
