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Question 204728: True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain
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It grows 4 times as fast, which is 3 times faster.
4x increases 4 units for each unit of x, while g(x) increases 1 for 1.
That's 4 times as fast, but not 4 times faster.
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Consider: Is 1 time faster the same speed? If so, why say faster?
1 time faster is an increase of 100%, which makes it 2 times as fast.
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