Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop and g(x) is the profits of a construction materials business. Use the data to determine which function is exponential, and use the table to justify your answer.


x f(x) g(x)
1995 $8,539.95 $10,751.61
2000 $13,047.20 $13,722.08
2005 $17,554.45 $17,577.05
2006 $18,455.90 $18,455.90
2007 $19,357.35 $19,378.70
2010 $22,061.70 $22,433.27
f(x) is exponential; an exponential function increases more slowly than a linear function.
f(x) is exponential; f(x) increased more overall than g(x).
g(x) is exponential; an exponential function increases faster than a linear function.
g(x) is exponential; g(x) has a higher starting value and higher ending value.