Question

What is the domain and range of `y= -1/2 x ^2`?

Answer 1

Domain: `(-oo, oo)`

Range: `(-oo,0]`

Explanation:

A parabola where `y` is a function of `x` always has a domain from negative to positive infinity.

Its range depends on which direction it's facing (which is determined by the `a` value in the quadratic equation) and what the y value of the vertex is. See the graph below.

graph{-1/2 x^2 [-10, 10, -5, 5]}