Practice Problems on Ceiling Function
Q1: What is the value of ⌈6.7⌉?
Q2: Calculate ⌈-3.4⌉.
Q3: Determine ⌈2.71828⌉ (where 2.71828 is the value of the mathematical constant “e”).
Q4: If x is an even positive integer, express ⌈x/2⌉ in terms of x.
Q5: Solve for x in the equation ⌈3x – 2⌉ = 9.
Q6: Given a real number y, find the largest integer n such that ⌈y⌉ = n.
Q7: Compute ⌈⌈5.5⌉ + ⌈3.9⌉⌉.
Q8: What is the sum of the first 4 positive integers rounded up to the nearest integer using the ceiling function?
Q9: Determine the value of ⌈⌈⌈8.2⌉/4⌉/2⌉.
Q10: Solve for x in the equation ⌈1.5x⌉ = 6.
Ceiling Function
Ceiling Function is an important function in mathematics that returns the smallest integer which is not smaller than the input decimal. It is usually expressed as a function of a variable and denoted either by f(x) or by ceil(x) or ⌈x⌉. Ceiling Function has applications in various fields such as physics, electronics, and AI due to which it becomes much more important to study ceiling function.
A ceiling function is neither a one-one nor an onto function as various elements have the same image and a pre-image has various images in the co-domain and domain set respectively. In this article, we shall discuss the ceiling function in detail.
Table of Content
- What is Ceiling Function?
- Graph Of Ceiling Function
- Properties Of Ceiling Function
- Floor And Ceiling Function
- Applications Of Ceiling Function
- Practice Problems on Ceiling Function