Question

Which equation could model the graph of f?

a) f(x) = 1 + 4sin(x)
b) f(x) = 3 - 2sin(x)
c) f(x) = 3 + 2sin(x)
d) f(x) = 5 - 4sin(x)

Answer 1

The equation that could model the graph of f is f(x) = 3 + 2sin(x).

Step-by-step explanation:

The equation that could model the graph of f is f(x) = 3 + 2sin(x). This is because the equation has a positive constant term, 3, which ensures that the graph has a positive value. The coefficient of the sine function, 2, determines the amplitude of the graph. Since the slope of the graph is decreasing in magnitude with increasing x, we need a positive coefficient for the sine function, which is present in option c.