Determine the time and space complexities of a linear search.(1 point)

Question

Responses

time complexity: O(log(n))

space complexity: O(log(n))

time complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis space complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis

time complexity: O(log(n))

space complexity: O(n)

time complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis space complexity: upper O left parenthesis n right parenthesis

time complexity: O(n)

space complexity: O(log(n))

time complexity: upper O left parenthesis n right parenthesis space complexity: upper O left parenthesis log left parenthesis n right parenthesis right parenthesis

time complexity: O(n)

space complexity: O(n)

Answer 1

The correct answer for the time and space complexities of a linear search is:

• Time complexity: O(n)
• Space complexity: O(1)

A linear search checks each element in the list one by one, leading to a linear time complexity of O(n) in the worst case. Since it typically uses a constant amount of extra space (to hold the current index or the value being searched for), the space complexity is O(1), not O(n) or O(log(n)).

However, from the provided response options, none of them indicate the correct space complexity of O(1). The closest option regarding time complexity is:

• Time complexity: O(n)

If that option were to be listed, it would indicate the linear search's time complexity. The correct answer for space complexity should be O(1), but since that is not present in the choices, it's important to recognize the discrepancies.