Question 171822: True or false: The function "f(x) = 3x" grows three 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) = 3x" grows three times faster than the function "g(x) = x". Explain
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It's false, but due to a grammar problem, the book and teacher might think it's true.
It grows 3 times AS FAST, which is 2 times faster.
3 times faster is 4 times as fast, etc.
As proof, what is 1 time faster? It says "faster", so it can't be the same rate. 1 time faster is 100% faster.
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So don't be surprised if the teacher and the book say it's true. Most people have a poor grasp of English.
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Also, you hear gibberish such as "3 times smaller." That has no meaning at all. If something is 1 times smaller, that's zero(0). How can it be less than zero?
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