To find the range of the function y = 3cos4x - 2, we need to determine the set of all possible values that y can take.

1. The cosine function has a range between -1 and 1. Therefore, the range of 3cos4x will be between -3 and 3.

2. By subtracting 2 from the range of 3cos4x, we shift the range downwards by 2 units. So, the new range becomes -3 - 2 = -5 to 3 - 2 = 1.

Therefore, the range of y = 3cos4x - 2 is -5 to 1.

Question

To find the range of the function y = 3cos4x - 2, we need to determine the set of all possible values that y can take.

1. The cosine function has a range between -1 and 1. Therefore, the range of 3cos4x will be between -3 and 3.

2. By subtracting 2 from the range of 3cos4x, we shift the range downwards by 2 units. So, the new range becomes -3 - 2 = -5 to 3 - 2 = 1.

Therefore, the range of y = 3cos4x - 2 is -5 to 1.

Knowee AI · Accepted Answer

To find the range of the function y = 3cos4x - 2, we need to determine the set of all possible values that y can take.

1. The cosine function has a range between -1 and 1. Therefore, the range of 3cos4x will be between -3 and 3.

2. By subtracting 2 from the range of 3cos4x, we shift the range downwards by 2 units. So, the new range becomes -3 - 2 = -5 to 3 - 2 = 1.

Therefore, the range of y = 3cos4x - 2 is -5 to 1.

Find the range of y = 3cos4x - 2.