How does changing the function from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6 affect the range of the function?

the function shifts down 4 units, so the range changes from −4 to 4 in f(x) to −8 to 0 in g(x).

the function shifts down 4 units, so the range changes from −1 to 1 in f(x) to −5 to −3 in g(x).

the function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

the function shifts down 6 units, so the range changes from −1 to 1 in f(x) to −7 to −5 in g(x).

The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

Step-by-step explanation:

Given  : f(x) = −4 cos 3x  and  g(x) = −4 cos 3x − 6.

To find  :    How does changing the function affect the range of the function?

Solution : We have given that  

Function change from  f(x) = −4 cos 3x  to   g(x) = −4 cos 3x − 6.

By the transformation rule : f(x) →→→f(x) -k it mean function shifted down k unit .

Then Function would shift down 6 unit .

For  f(x) = −4 cos 3x  

Range:  [ -4,4]

For  g(x) = −4 cos 3x − 6.

Range : [-10 ,-2]

Therefore, The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

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step-by-step explanation: