Answer:
\(-5\leq y\leq5\) is the required range.
Step-by-step 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:
\(-5\leq y\leq5\)
