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

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: True or false: the function "f(x) =4" grows four times faster than the function "g(x) = x. explain      Log On


   



Question 180440: True or false: the function "f(x) =4" grows four times faster than the function "g(x) = x. explain
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
that would mean for every input into f(x) and g(x ) the output result would be 3 times greater for g(x)
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so lets plug in some numbers
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for x=3---->f(x)=4,g(x)=3
for x=0---->f(x)=4,g(x)=0
for x=-3--->f(x)=4,g(x)=-3
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with these values you would have to conclude the statement is false.
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by the way f(x)=4 is a horizontal line
and g(x) is a line that splits the x and y axis in the 1st and 3rd quadrants.
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here ya go the graph of y=(1/3)^x
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F3%29%5Ex%29