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Find the range of the function f(x) = x^{2} + 3

The range of a function is the set of all its outputs.

## Answer: The range of f(x) = x^{2} + 3 is [3, ∞).

We will make use of the concept of the domain of the function to find the range of f(x).

**Explanation:**

We have the function f(x) = x^{2} + 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) = x^{2} + 3 is [3, ∞).

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