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The [ 2x + 1 ] represents a function of 'y' .
The function y=x is a straight line. The range is all real numbers.
No.
If x = sin θ and y = cos θ then: sin² θ + cos² θ = 1 → x² + y² = 1 → x² = 1 - y²
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.