Find the range of the function f(x) = x2 + 3
The range of a function is the set of all its outputs.
Answer: The range of f(x) = x2 + 3 is [3, ∞).
We will make use of the concept of the domain of the function to find the range of f(x).
We have the function f(x) = x2 + 3.
The domain of the function is the set of real numbers (R).
f(x) is an upward-opening parabola with a bottom at (0, 3). Hence, f(x) takes all positive values, including 3 at x = 0.
Thus, the range of f(x) = x2 + 3 is [3, ∞).