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hjlf
3 years ago
11

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

Mathematics
2 answers:
ASHA 777 [7]3 years ago
5 0
The function shifts down 6 units so the range will change from (-4, 4) to (-10,-2)
Option # 3
ArbitrLikvidat [17]3 years ago
5 0

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).

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