Answer:
[tex]-5\leq y\leq5[/tex] is the required range.
Step-by-step explanation:
We have been given a function:
[tex]y=-5sin(x)[/tex]
The range of sin x is [tex]-1\leq sinx\leq1[/tex]
multiply -5 in each term of the above equation.
[tex]-1(-5)\geq -5sinx\geq-5[/tex]
[tex]\Rightarrow 5\geq -5sinx\geq-5[/tex]
Hence, the required range is:
[tex]-5\leq -5sinx\leq5[/tex]
replace -5sinx by y so, we get:
[tex]-5\leq y\leq5[/tex]
