Which of the following functions has the largest maximum value: f(x)= -9/2 sin x, g(x)= -4 sin x, or h(x)= -3.5 sin x?
To determine which function has the largest maximum value, we need to compare the coefficients in front of the sine function.
The maximum value of the function occurs when the sine function is equal to 1. Thus, the maximum value of each function can be found by replacing the sine function with 1.
For f(x) = -9/2 sin x, the maximum value is (-9/2)(1) = -9/2.
For g(x) = -4 sin x, the maximum value is (-4)(1) = -4.
For h(x) = -3.5 sin x, the maximum value is (-3.5)(1) = -3.5.
Comparing the maximum values, we can see that f(x) has the largest maximum value of -9/2.