## What are examples of discontinuous functions?

Some of the examples of a discontinuous function are:

- f(x) = 1/(x – 2)
- f(x) = tan x.
- f(x) = x2 – 1, for x < 1 and f(x) = x3 – 5 for 1 < x < 2.

**What are real life examples of continuous functions?**

Suppose you want to use a digital recording device to record yourself singing in the shower. The song comes out as a continuous function.

### What are the 3 types of discontinuous functions?

There are three types of discontinuity.

- Jump Discontinuity.
- Infinite Discontinuity.
- Removable Discontinuity.

**What functions are not continuous?**

In other words, a function is continuous if its graph has no holes or breaks in it. For many functions it’s easy to determine where it won’t be continuous. Functions won’t be continuous where we have things like division by zero or logarithms of zero.

## What is continuity and discontinuity in human development?

Discontinuity in human development usually signifies some form of change, whereas continuity implies maintaining the status quo (Lerner, 2002). Continuity and discontinuity include descriptions of and explanations for behavior, which are not necessarily undivided.

**How are functions used in the real world?**

A weekly salary is a function of the hourly pay rate and the number of hours worked. Compound interest is a function of initial investment, interest rate, and time. Supply and demand: As price goes up, demand goes down.

### How do you know if a function is discontinuous?

If the function factors and the bottom term cancels, the discontinuity at the x-value for which the denominator was zero is removable, so the graph has a hole in it. After canceling, it leaves you with x – 7. Therefore x + 3 = 0 (or x = –3) is a removable discontinuity — the graph has a hole, like you see in Figure a.

**What is discontinuity in human development?**

The discontinuity view of development believes that people pass through stages of life that are qualitatively different from each other. For example, children go from only being able to think in very literal terms to being able to think abstractly. They have moved into the ‘abstract thinking’ phase of their lives.

## What is discontinuity in Earth?

Each layer has a unique chemical composition, physical state, and can impact life on Earth’s surface. All these layers are separated from each other through a transition zone. These transition zones are called discontinuities.

**Do holes make a function discontinuous?**

A continuous function can be represented by a graph without holes or breaks. A function whose graph has holes is a discontinuous function.