Choose the order of the following growth rates, from slowest to fastest: θ(n³), θ(nlog(n)), θ(n³/2), θ(2ⁿ). A)θ(n log(n)), θ(n³/2), θ(n³), θ(2ⁿ) B)θ(n³), θ(n log(n)), θ(n³/2), θ(2ⁿ) C)θ(n³/2), θ(n log(n)), θ(n³), θ(2ⁿ) D)θ(2ⁿ), θ(n³), θ(n³/2), θ(n log(n))

Question

Quizplus · Accepted Answer

The correct order from slowest to fastest growth rates is: θ(n log(n)) < θ(n^2/2) < θ(n^2) < θ(2^n). This is based on the fundamental hierarchy of functions where logarithmic growth is slower than polynomial growth, and exponential growth is the fastest among the given options.

Choose the Order of the Following Growth Rates, from Slowest