To find the range of the function F(x) = 5cosx, we need to determine the set of all possible values that F(x) can take.

Step 1: Recall that the cosine function has a range of [-1, 1]. This means that the maximum value of cosx is 1 and the minimum value is -1.

Step 2: Multiply the cosine function by 5 to obtain F(x) = 5cosx. Multiplying by a positive constant does not change the range, so the range of F(x) will still be [-1, 1].

Step 3: Therefore, the range of F(x) = 5cosx is also [-1, 1].

Question

To find the range of the function F(x) = 5cosx, we need to determine the set of all possible values that F(x) can take.

Step 1: Recall that the cosine function has a range of [-1, 1]. This means that the maximum value of cosx is 1 and the minimum value is -1.

Step 2: Multiply the cosine function by 5 to obtain F(x) = 5cosx. Multiplying by a positive constant does not change the range, so the range of F(x) will still be [-1, 1].

Step 3: Therefore, the range of F(x) = 5cosx is also [-1, 1].

Knowee AI · Accepted Answer

To find the range of the function F(x) = 5cosx, we need to determine the set of all possible values that F(x) can take.

Step 1: Recall that the cosine function has a range of [-1, 1]. This means that the maximum value of cosx is 1 and the minimum value is -1.

Step 2: Multiply the cosine function by 5 to obtain F(x) = 5cosx. Multiplying by a positive constant does not change the range, so the range of F(x) will still be [-1, 1].

Step 3: Therefore, the range of F(x) = 5cosx is also [-1, 1].

The range of F(x) = 5cosx is _____.

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