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Mathematical Functions Quiz

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1. What is the range of the function $f(x) = x^2$ for $x \geq 0$?

2. If the function $f(x) = 3x + 2$ is invertible, what is the formula for its inverse $f^{-1}(x)$?

3. What is the derivative of the function $f(x) = x^3 - 3x^2 + 5x - 7$?

4. What is the integral of the function $f(x) = 4x^3 - 2x + 6$?

5. Which of the following represents the domain of the function $f(x) = \sqrt{x - 3}$?

6. Which of the following is true for the function $f(x) = \frac{1}{x}$ at $x = 0$?