Question

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

y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1

Answer 1

$y \leqslant - 1$

Answer 2

Answer:

$y\leq -1$

Step-by-step explanation:

$y = -x ^2 + 1$

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

$y = -x ^2 + 1$

General vertex form is : $y=a(x-h)^2+k$

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  $y\leq -1$