Question

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

a.all reals
b.y ≤ 0
c.y ≥ 0

Answer 1

b. y ≤ 0

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