State the x-intercepts of the graph of y=1-x^2
To find the x-intercepts of the graph of y = 1 - x^2, we need to determine the values of x when y is equal to zero.
Setting y to zero, we get 0 = 1 - x^2. To solve this equation, we can rearrange it by subtracting 1 from both sides to obtain -1 = -x^2. Now let's multiply both sides by -1 to get x^2 = 1.
Taking the square root of both sides, we have x = ±√1.
Simplifying further, we get x = ±1.
Therefore, the x-intercepts of the graph are x = 1 and x = -1.