Mathematics
Grade10
Easy
Question
For the following table, write a rule for f using the ceiling or floor function
- Floor (x) + 1
- Floor (
) + 3 , 0 ≤ x < 12 - Floor () , 0 ≤ x < 12
- Floor (2x) + 3 , 0 ≤ x < 12
) + 3 , 0 ≤ x < 12) , 0 ≤ x < 12
Hint:
The ceiling function returns the smallest nearest integer which is greater than or equal to the specified number whereas the floor function returns the largest nearest integer which is less than or equal to a specified value.
The correct answer is: Floor () + 3 , 0 ≤ x < 12
We have to write a rule using the floor and ceiling function.
The function can be: f(x) = floor() + 3 , 0 ≤ x < 12.
Recheck by putting the values of x from the table in the above equation.
Hence, the correct option is C.
The ceiling function is also known as the smallest integer function. The floor function is also known as greatest integer function.
