Question

What is the range of y = –5sin(x)?

Answer 1

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:

$-5\leq y\leq5$

Answer 2

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