Question

Evaluate the floor function f(x) = ⌊x⌋ for the given input values. F(2) = f(6. 8) = f(–3. 3) =.

Answer 1

Floor function

The floor function of a number is taken out to get the greatest integer that is less than or equal to the number.

To get the floor of any number assume the y-axis of the graph and on that axis plot the number, when you plot the number, the integer just below that point is known as the floor for that number.

Given to us

function,  $f(x)=\lfloor{x}\rfloor$

Solutions

a.)  for f(2),

$f(x)=\lfloor{x}\rfloor\\f(2)=\lfloor{2}\rfloor$

for a whole number, the number itself is the floor of the number. thus, the function will return the value as 2.

b.)  for f(6.8),

$f(x)=\lfloor{x}\rfloor\\f(6.8)=\lfloor{6.8}\rfloor\\f(6.8)=6$

for the number 6.8, the ceiling will be 6 as 6 is the greatest integer that is less than 6.8.

c.)  for f(-3.3),

$f(x)=\lfloor{x}\rfloor\\f(-3.3)=\lfloor{-3.3}\rfloor\\f(-3.3)=-4$

for the number -3.3, the ceiling will be -4 as -4 is the integer that will be on the floor when seen on the negative number line.

Learn about Floor function:

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