Question

Найти множество значений функции y=9sinx-3

Answer 1

-1≤sinx≤1 умножим неравенство на -5, т. к. умножаем на отрицательное число знак неравенства меняется -1*(-5)≥ -5sinx ≥1*(-5) прибавим 3 -5+3≤-5sinx+3≤5+3 -2≤3-5sinx≤8 -2≤у≤8 т. е. множество значений функции [-2;8] 

Answer 2

Finding the Values of the Function y=9sinx-3

To find the values of the function y=9sinx-3, we can use the given function y=9sinx-3 and substitute different values of x to calculate the corresponding values of y.

Let's calculate the values of the function for different values of x.

For x=0: y = 9sin(0) - 3 y = 0 - 3 y = -3

For x=π/2: y = 9sin(π/2) - 3 y = 9 - 3 y = 6

For x=π: y = 9sin(π) - 3 y = 0 - 3 y = -3

For x=3π/2: y = 9sin(3π/2) - 3 y = -9 - 3 y = -12

For x=2π: y = 9sin(2π) - 3 y = 0 - 3 y = -3

The values of the function y=9sinx-3 for different values of x are: - When x=0, y=-3 - When x=π/2, y=6 - When x=π, y=-3 - When x=3π/2, y=-12 - When x=2π, y=-3

These are the calculated values of the function y=9sinx-3 for the given values of x.