Answer:
I figured all these out by graphing the function. See the attachment for a picture.
h(x) = (x-1)^2
It's increasing over (1, ∞) because the values are going up in that span.
It's decreasing over (-∞, 1) because the values are going down in that span.
Its range is all values of y [tex]\geq[/tex] 0 (we can see that only y-values above 0 are in the function).
g(x) = -(x+1)(x-1)
It's increasing over (-∞, 0) because the values are going up in that span.
It's decreasing over (0, ∞) because the values are going down in that span.
Its range is all values of y [tex]\leq[/tex] -1 (we can see that only y-values below 1 are in the function).
