Question

What is the range of y = -5sin(x)?

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

$\boxed{\boxed{\pink{\bf \leadsto The \ range \ of \ y \ is \ y \ \in \ [-5,5] .}}}$

Step-by-step explanation:

A function is given to us and we need to find its range. So the given function is ,

$\bf\implies y = -5\:sin(x)$

The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.

$\bf \implies y = (-5)$

The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.

$\bf \implies y = (5)$

Hence the range is ,

$\boxed{\red{\bf -5 \leq y \leq 5 }}$

Interval Notation :-

$\boxed{\red{\bf y \in [-5,5] }}$

Set builder Notation :-

$\boxed{\red{\bf \{ y | -5 \leq y \leq 5 }}$

Graph of the function is attached .

Hence the range of y = -5 sin(x) is [-5,5].