Determine whether the function represents exponential growth or exponential decay.$f\left(t\right)=\frac{1}{3}\left(1.26\right)^t$

For an exponential function of the form:
[tex]y=a\cdot b^x[/tex]a = Initial value
b = growth factor = 1 + r
r = Rate of change
So:
[tex]\begin{gathered} f(t)=\frac{1}{3}(1.26)^t \\ b=1+r=1.26 \\ so\colon \\ r=1.26-1 \\ r=(1.26-1)\times100 \\ r=26 \end{gathered}[/tex]Answer:
26%