Question 150404
True or false: The function f(x)=3^x grows three times faster than the function g(x)=x. Explain. 
MY answer is true because F(x)=3^x is exponential and grows faster because what ever the x (exponent) is, it multiplies that 3, that many times over. And the 
g(x)=x is one number multiplied with another number. Is this correct or am I thinking of it the wrong way? Please help, I'm the only one who has this different answer and I don't understand why they all have false.
----------------
Comparing g(x) = x to f(x)=3^x
g(x) = x is a line with slope=1 and y-intercept = 0
As x increases, y increases
It looks like this:
{{{graph(400,300,-10,10,-10,10,x)}}}
-----------------
y= 3^x is exponential with  y-intercept at (0,1) and a constantly 
increasing slope.  It looks like this:
{{{graph(400,300,-10,10,-10,20,3^x)}}}
--------
Note: It is incorrect to say "the exponent multiplies the three".
-----------------
Cheers,
Stan H.