Question

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

Answer 1

Answer:

+5

Step-by-step 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.