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

1 Answer
May 17, 2018

Answer:

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]}