Question

Question 4 of 10

What is the range of y= sin x?
O A. -1 ≤ y ≤ 1
OB. All real numbers
O C. -1 ≤ x ≤1
O D. x nn
SUBMIT

Answer 1

The answer is **A. -1 ≤ y ≤ 1**.

The range of a function is the set of all possible values that the function can output. The range of y=sin x is all real numbers between -1 and 1. This is because the sine function oscillates between -1 and 1, never going above or below those values.

The other answer choices are incorrect. Option B is incorrect because the range of a function is the set of all possible outputs, not all real numbers. Option C is incorrect because the range of the sine function is not limited to the interval [-1, 1]. Option D is incorrect because the sine function is not a power function.

I hope this helps! Let me know if you have any other questions.

Answer 2

Answer and Explanation:

The range of the function y = sin(x) is the set of all possible values that y can take as x varies over the real numbers.

The sine function is a periodic function that oscillates between -1 and 1. As x increases or decreases, the value of sin(x) repeats itself after a certain interval known as the period of the function.

Since the range of the sine function is determined by the maximum and minimum values it can take, we can conclude that the range of y = sin(x) is -1 ≤ y ≤ 1. This means that y can take any value between -1 and 1, including both endpoints.

In option B, "All real numbers," it implies that the range of y is the entire set of real numbers. However, this is incorrect for the sine function, as it is constrained between -1 and 1.

Option C, "-1 ≤ x ≤ 1," is not relevant to the question since it provides a range for x rather than y.

Option D, "x nn," seems to be an incomplete or unrelated choice and does not provide any meaningful information.

Therefore, the correct answer is option A: -1 ≤ y ≤ 1.