Answer
The function represents exponential growth.
Work Step by Step
The given function is
$x(t)=(1.45)^{\frac{t}{2}}$
Use power of powers property.
$x(t)=(1.45^{\frac{1}{2}})^t$
Evaluate the power and simplify.
$x(t)=(1.20)^t$
$x(t)=(1+0.20)^t$
Hence, the function represents exponential growth.