Question

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of mc016-1.jpg?
mc016-2.jpg
mc016-3.jpg
mc016-4.jpg
mc016-5.jpg

Answer 1

r(x) = 2 − x^2 has a maximum 2 (at x = 0) and opens downward, so its range is (−∞, 2].
w(x) = x − 2 is all real numbers, so r(w(x)) has the same range as r: (−∞, 2].