Final answer:
The correct answer is A) SquareRootLinearize. Linearization of the square root function can be done using a tangent line approximation.
Step-by-step explanation:
The correct answer for the linearization of the square root function is A) SquareRootLinearize.
Linearization is the process of approximating a non-linear function with a linear function. In the case of the square root function, the linearization can be done using a tangent line approximation. The equation for the linear approximation is given by y = f'(a)(x - a) + f(a), where f'(a) is the derivative of the function at the point a and f(a) is the value of the function at a.
For the square root function, the derivative is f'(x) = 1 / (2 * sqrt(x)). So, the linear approximation can be written as y = (1 / (2 * sqrt(a)))(x - a) + sqrt(a).