Characteristics of Exponential Functions
In the table below, identify which rows have errors. Check all that apply.
  Exponential Function
y=a(b)t\displaystyle {y}={a}{\left({b}\right)}^{{t}}
Growth or Decay? Initial Value
a\displaystyle {a}
Growth/Decay Factor
b\displaystyle {b}
Growth/Decay Rate, r\displaystyle {r}
(as a decimal)
Growth/Decay Rate, r\displaystyle {r}
(as a %)
f(x)=120(1.2)x\displaystyle {f{{\left({x}\right)}}}={120}{\left({1.2}\right)}^{{x}} Growth 120\displaystyle {120} 1.2\displaystyle {1.2} 0.2\displaystyle {0.2} 2%\displaystyle {2}\%
p(t)=32(1.075)t\displaystyle {p}{\left({t}\right)}={32}{\left({1.075}\right)}^{{t}}Growth32\displaystyle {32}1.075\displaystyle {1.075}0.075\displaystyle {0.075}7.5%\displaystyle {7.5}\%
g(x)=50(0.98)x\displaystyle {g{{\left({x}\right)}}}={50}{\left({0.98}\right)}^{{x}}Decay50\displaystyle {50}0.98\displaystyle {0.98}0.02\displaystyle {0.02}2%\displaystyle {2}\%
h(t)=72(0.80)t\displaystyle {h}{\left({t}\right)}={72}{\left({0.80}\right)}^{{t}}Decay72\displaystyle {72}0.80\displaystyle {0.80}0.80\displaystyle {0.80}80%\displaystyle {80}\%