Question

What is the range of y = –5sin(x)?

Answer 1

[-5, 5] the Y value has a minimum of -5 and max of 5 so that is what your range is!

Answer 2

`-5\leq y\leq5` is the required range.

Explanation:

We have been given a function:

`y=-5sin(x)`

The range of sin x is
`-1\leq sinx\leq1`

multiply -5 in each term of the above equation.

`-1(-5)\geq -5sinx\geq-5`

`\Rightarrow 5\geq -5sinx\geq-5`

Hence, the required range is:

`-5\leq -5sinx\leq5`

replace -5sinx by y so, we get:

`-5\leq y\leq5`