Answer:
+5
Step-by-step explanation:
Let's analyze the sine function first:
[tex]sin(x)[/tex]
we know that this is periodic function with values between -1 and 1.
Now let's consider the function of the problem
[tex]y = -5sin(x)[/tex]
Here we have basically multiplied the previous function by a constant number, -5. Therefore, we have:
- when [tex]sin(x)=1, y = -5 \cdot 1 = -5[/tex]
- when [tex]sin(x)=-1, y=-5 \cdot (-1)=+5[/tex]
So, the values of the function
[tex]y = -5sin(x)[/tex]
are between -5 and +5, and so its maximum value is +5.
