Answer:
[tex]y\leq -1[/tex]
Step-by-step explanation:
[tex]y = -x ^2 + 1[/tex]
Range is the set of y values for which the function is defined
To find out the range we look at the value of k in the vertex
[tex]y = -x ^2 + 1[/tex]
General vertex form is : [tex]y=a(x-h)^2+k[/tex]
where (h,k) is the vertex that is maximum when a is negative
From the given equation the value of k= -1
The graph reaches the maximum value at y=-1
So range is [tex]y\leq -1[/tex]
