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) i
s the profits of a construction materials
business. Use the data to determine which function is exponential, and use the table to justify your answer.
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.
business. Use the data to determine which function is exponential, and use the table to justify your answer.
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.
2 answers:
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In short, (h o g)(a) is just h( g(a) ).
so what we can do is simply get g(a) first and then plug that in h(x).
so what we can do is simply get g(a) first and then plug that in h(x).