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Let f be a function that describes the number of steps required to carry out an

ID: 3012515 • Letter: L

Question

Let f be a function that describes the number of steps required to carry out an algorithm. The number of items processed is represented by n. For the given function, describe what happens if the number of items (n) is doubled.

f (n) = 10n2

The number of steps is doubled.

The number of steps is quadrupled.

The number of steps is multiplied by 20.

The number of steps stays the same.

The number of steps is doubled.

The number of steps is quadrupled.

The number of steps is multiplied by 20.

The number of steps stays the same.

Explanation / Answer

The number of steps is quadrupled.

f (n) = 10n2

If n is doubled, n becomes 2n

So,

f(2n) = 10*(2n)^2 = 40n2 or 4 times.

Hence, answer is B, The no. of steps is quadrapuled.

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