Find the range of the function. f(x) = x2 + 3

Question

Find the range of the function.

f(x) = x2 + 3

Answer 1

Shasha: I assume that the function is f( x) = x^2 + 3, and the domain of f is all real numbers. Note that f(x) is a parabola opening upwards with a bottom at (0, 3). The function takes all positive values including 3 at x = 0. Hence the range is [3, +infinity). Dr. G.