document.write( "Question 171822: True or false: The function \"f(x) = 3x\" grows three times faster than the function \"g(x) = x\". Explain \n" ); document.write( "
Algebra.Com's Answer #128125 by Alan3354(69443)![]() ![]() 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 \n" ); document.write( "--------------------- \n" ); document.write( "It's false, but due to a grammar problem, the book and teacher might think it's true. \n" ); document.write( "It grows 3 times AS FAST, which is 2 times faster. \n" ); document.write( "3 times faster is 4 times as fast, etc. \n" ); document.write( "As proof, what is 1 time faster? It says \"faster\", so it can't be the same rate. 1 time faster is 100% faster. \n" ); document.write( "------------- \n" ); document.write( "So don't be surprised if the teacher and the book say it's true. Most people have a poor grasp of English. \n" ); document.write( "---------- \n" ); document.write( "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? \n" ); document.write( " |