Give the range of the function f (x) = - x 2.

a. all reals

b. y ≤ 0

c. y ≥ 0

b. y ≤ 0

Step-by-step explanation:

Do you mean f (x) = - x^2?

If so, think of f (x) = x^2. You can use any real number for x. Once you square each value of x, you can get zero or a positive real for y. f (x) can only be a non-negative number. Now look at your function: f (x) = - x^2. The values of y are the opposite of the values of y in f (x) = x^2, so the range of f (x) = - x^2 is zero and all negative reals.

Answer: b. y ≤ 0