Data Structures and Algorithms Unit Test 5 of 225 of 22 Items Question Determine the time and space complexities of a linear search.(1 point) Responses 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(n) time complexity: upper O left parenthesis n right parenthesis space complexity: upper O left parenthesis n right parenthesis 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(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 Skip to navigation page 1 of 1

Answer 1

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

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

Here’s a brief explanation:

1. Time Complexity:

   • A linear search has a time complexity of O(n) because, in the worst-case scenario, you might have to check every element in the array or list to find the target value.

2. Space Complexity:

   • The space complexity of a linear search is O(1) because it does not require any additional space that scales with the input size. It only uses a constant amount of space (for example, one or two variables to hold the index or the target value).

Considering your options, none of them correctly express the space complexity as O(1), which is an important point. Be aware that it seems there are errors or misinterpretations in the options you provided.