Function
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Questions and Answers

  1. Is the function f(x) = 8 - 2x^4 bijective? Explain why or why not.

No, the function is not bijective because it is not both injective and surjective. It is not injective because different inputs can produce the same output (not one-to-one), and it is not surjective because not all real numbers can be obtained as an output (not onto).

  1. What is the output of the algorithm x(n) when the input is 7?

The output of the algorithm when the input is 7 is 343.

3a. Can the given list be used for Binary Search Algorithm? Justify your answer.

No, the given list cannot be used for Binary Search Algorithm because it is not sorted in ascending order.

3b. If a Linear Search Algorithm is used to find 18, how many comparison operations are performed until 18 is located?

<p>If a Linear Search Algorithm is used to find 18, 6 comparison operations are performed until 18 is located.</p> Signup and view all the answers

  1. What sequence of pseudorandom numbers is generated using the given linear congruential generator with seed x0 = 3?

<p>The sequence of pseudorandom numbers generated using the given linear congruential generator with seed $x_0 = 3$ is 3, 5, 0, 1, 5, 0, 1, 5, 0, 1, ...</p> Signup and view all the answers

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