Answer:
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).
