SOLUTION: True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain.

Question 194639: True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
f(x) = 4x,,,, g(x) =x
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make a T box
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X,,,,,,,,,,f(x),,,,,,,,,,,,g(x)
0,,,,,,,,,,,0,,,,,,,,,,,,,,,0,,,,,,,,,,,,,,,both functions start at 0
1,,,,,,,,,,,4,,,,,,,,,,,,,,,1,,,,,,,,,,,,,,, f(x) is 4 times g(x)
2,,,,,,,,,,,8,,,,,,,,,,,,,,,2,,,,,,,,,,,,,,,,,,,,,,,DITTO
5,,,,,,,,,,,20,,,,,,,,,,,,,5,,,,,,,,,,,,,,,,,,,,,,,DITTO
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as we can see for any given x, f(x) will be 4 times g(x), therefore it can be said to be growing 4 times faster
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