What is the range of $$ y=-5 \sin (x) $$ ? all real numbers $$ -5 \leq y \leq 5 $$ all real numbers $$ -\frac{5}{2} \leq y \leq \frac{5}{2} $$ all real numbers $$ -1 \leq y \leq 1 $$ all real numbers $$ -\frac{1}{5} \leq y \leq \frac{1}{5} $$

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To find the range of the function $$ y = -5 \sin(x) $$, we first need to understand the behavior of the sine function.

The sine function, $$ \sin(x) $$, oscillates between -1 and 1 for all real numbers $$ x $$. Therefore, we have:

$$
-1 \leq \sin(x) \leq 1
$$

Now, we can multiply the entire inequality by -5. Remember that when we multiply or divide an inequality by a negative number, we must reverse the inequality signs:

$$
-5 \cdot 1 \leq -5 \sin(x) \leq -5 \cdot (-1)
$$

This simplifies to:

$$
-5 \leq -5 \sin(x) \leq 5
$$

Thus, the range of $$ y = -5 \sin(x) $$ is:

$$
[-5, 5]
$$

Therefore, the correct answer is:

**all real numbers $$ -5 \leq y \leq 5 $$**.
The range is $$ -5 \leq y \leq 5 $$.

What is the range of ?
all real numbers
all real numbers
all real numbers
all real numbers

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What is the range of ? all real numbers all real numbers all real numbers all real numbers