Question

F(x) = ( x sin(1/x) for x > 0, 0 for x = 0.

A) PiecewiseSineFunction()
B) SinusoidalZeroFunction()
C) SineAtZeroFunction()
D) CustomSinusoidalFunction()

Answer 1

The function described is a piecewise function that combines a sine function and a constant function. For x greater than 0, the function is given by f(x) = x sin(1/x), and for x equal to 0, the function is 0 (f(0) = 0). The correct choice to define this function is A) PiecewiseSineFunction().

Step-by-step explanation:

The function described is a piecewise function that combines a sine function and a constant function. For x greater than 0, the function is given by f(x) = x sin(1/x), and for x equal to 0, the function is 0 (f(0) = 0). This can be represented as:

f(x) = {

• x sin(1/x) if x > 0
• 0 if x = 0

The correct choice to define this function is A) PiecewiseSineFunction().