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Please help and explain.

Please help and explain.-example-1
User Air
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1 Answer

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Piecewise functions have different definitions, depending on when you evaluate them.

Given an input x, your function returns:

  • 2x if the input is negative
  • 1 if the input lies between 0 (included) and 2 (excluded)
  • the square root of x if the input is greater than 2 (included)

You want to know what f(0) is. In other words, you want to know what happens if we give 0 as input.

The piecewise definition tells us that, if the input is 0, the function outputs 1.

So, you have f(0) = 1.

User Fatemeh Rostami
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