2 Answers

Sverrejoh · Answer 1 · 2022-09-24T04:05:34+0000

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

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 :-

$\boxed{\red{\bf \ y }$

Graph of the function is attached .

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