Question

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

Answer 1

range and y are the same thing so find which number is the y

Answer 2

y ≤ -1
y ≥ -1 I thnk this is the answer
y ≤ 1
y ≥ 1

Answer 3

well the range is 1 but I don't know which way the sign is faced.

Answer 4

\[\ge or \le \]

Answer 5

well is there a sign that is originally in the problem?

Answer 6

i think it is
\[\le \]

Answer 7

nope

Answer 8

hm then I am not sure because usually those signs arent thrown in aren't thrown in last second

Answer 9

ya

Answer 10

y = -x^2 + 1

- (x) ^2 takes on a value of 0 or a negative number for any real value of x.
So, the greatest value - (x)^2 can have is zero. Then, one is added to it. So, y = -x^2 + 1 maxes out when y = 1 and x is zero.

The range is the set of all possible values of y. y cannot be bigger than 1. So, the range is ?