What is the range of the function #y=x^2-1#?

1 Answer
May 29, 2018

Answer:

#[-1, oo]#

Explanation:

For this function, you can see that the basic function is #x^2#. In this case, the #x^2# graph has been shifted down the #y#-axis by #1#.

In knowing this information the range can be observed as #[-1,oo]# as #-1# is the lowest point on the graph along the #y#-axis and #oo# as the graph is observed to continue (has no restrictions).

The easiest way to find the range is to draw the graph.

graph{x^2-1 [-2.5, 2.5, -1.25, 1.25]}