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 $14,170.20 $11,008.31
2000 $19,396.20 $16,174.82
2005 $24,622.20 $23,766.11
2006 $25,667.40 $25,667.40
2007 $26,712.60 $27,720.79
2010 $31,938.60 $34,920.21
g(x) is exponential; an exponential function increases faster than a linear function.
g(x) is exponential; g(x) has a lower starting value and higher ending value.
f(x) is exponential; an exponential function increases more slowly than a linear function.
f(x) is exponential; f(x) increased less overall than g(x).