Question

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

Answer 1

first step would be to solve for x...so isolate it first

Answer 2

another method you can try is by drawing the graph to find the range visually :)

Answer 3

or you can just visualize the graph in your mind.. \[y = x^{2}\] is a parabola upwards, centered at (0,0)
if its negative, then it will be inverted..
+1 means that the graph is moved 1 unit up the y axis from (0,0) to (0,1)
i hope you figure it out:)

Answer 4

The function has a maximum at x=0 and this maximum is 1 so the range is
\[
( -\infty, \, 1]
\]