Question

What is the maximum value that the function y = -5sin(x) assumes?

Answer 1

+5

Explanation:

Let's analyze the sine function first:

`sin(x)`

we know that this is periodic function with values between -1 and 1.

Now let's consider the function of the problem

`y = -5sin(x)`

Here we have basically multiplied the previous function by a constant number, -5. Therefore, we have:

- when
`sin(x)=1, y = -5 \cdot 1 = -5`

- when
`sin(x)=-1, y=-5 \cdot (-1)=+5`

So, the values of the function

`y = -5sin(x)`

are between -5 and +5, and so its maximum value is +5.