H446_12_Algorithm Analysis and Design Quiz

What is the main goal when designing algorithms in terms of time complexity?

• To use as much memory as possible

• To solve problems as slowly as possible

• To design algorithms that run quickly with minimal resources

• To make algorithms as complex as possible

Which algorithm is more efficient in terms of time complexity?

• sumIntegersMethod1

• sumIntegersMethod2

• Both are equally efficient

• Neither is efficient

Which algorithm is more efficient in terms of time complexity?

• Constant

• Linear

• Logarithmic

• Polynomial

What does "linear", "linear time", "linear time complexity" mean in the context of Big O and algorithm analysis?

• The execution time of the corresponding algorithm does not grow, independent of the data size.

• The execution time of the corresponding algorithm grows linearly with the data size, proportional to the increase of size

• The execution time of the corresponding algorithm grows exponentially with the data size, like 2^n

• The execution time of the corresponding algorithm grows polynomially with the data size, n^2

What is the Big-O notation used for?

• To measure the memory usage of an algorithm

• To represent the time complexity of algorithms, as the upper bound

• To define the syntax of programming languages

• To describe the hardware requirements of an algorithm

What is the general form of a linear function?

• f(x) = ax^2 + bx + c

• f(x) = ax + c

• f(x) = ab^x

• f(x) = a/x + c

In the linear function f(x) = 3x + 4, what is the value of f(x) when x = 10?

• 30

• 34

• 40

• 44

What is the general form of a polynomial function? (a, b, c and m are constants)

• f(x) = ax + c

• f(x) = ab^x

• f(x) = ax^m + bx + c

• f(x) = a/x + b

In the polynomial function f(x) = 2x^2 + 10x + 50, what is the value of f(x) when x = 1?

• 50

• 62

• 72

• 82

What is the general form of an exponential function? (a, b, c and m are constants)

• f(x) = ax + c

• f(x) = ax^m + bx + c

• f(x) = ab^x

• f(x) = a/x + b