one period of y = 4sin(x) is graphed below. what is the domain of y = 4sin(x)?\na. -4, 4\nb. (-∞, ∞)\nc. 0…
one period of y = 4sin(x) is graphed below. what is the domain of y = 4sin(x)?\na. -4, 4\nb. (-∞, ∞)\nc. 0, 2π\nd. 0, ∞)
Answer
Explanation:
Step1: Recall domain of sine function
The function $y = \sin(x)$ has a domain of all real numbers.
Step2: Consider the given function
For $y = 4\sin(x)$, the coefficient 4 only affects the amplitude and not the domain. So the domain remains all real numbers.
Answer:
B. $(-\infty, \infty)$