Question

If f(x)= int (x), find the function value. f(-30.0567)

Answer 1

The value of
`\( f(x) = \lfloor x \rfloor \)` at
`\( x = -30.0567 \) is \( -31 \)`.

Step-by-step explanation:

The function
`f(x) = \lfloor x \rfloor \)` represents the greatest integer less than or equal to x In this case, when evaluatingf(-30.0567) , we round down to the nearest integer, resulting in -31 since -31 is the greatest integer that is less than or equal to -30.0567 . The floor function essentially discards the decimal part and gives the integer part of the number.

Mathematically,
`\( \lfloor -30.0567 \rfloor = -31 \)`, indicating that the function value at x = -30.0567 is -31. This process is consistent with the definition of the floor function, where it always rounds down to the nearest integer.