## 5.1 Application of Functions

#### Application of Functions

- Functions is a very useful tool in expressing relations, even in our daily life. Below are a few examples.

Home » VCE » Maths Methods U3 & 4 Master Notes » **Application of Functions** # Application of Functions

- Functions is a very useful tool in expressing relations, even in our daily life. Below are a few examples.

- A sinusoidal function has a rule of the form y=a\sin (nt+k)+c, or, equivalently, of the form y=a\cos (nt+k)+c. Such functions can be used to model periodic motion.

- There are plenty of examples of periodic motions. For instance, the periodic switch between daytime and night time, circular motions of pendulum, yo-yo, and more.

- Polynomial functions are a very common and useful function that are used in daily life. Below are a few examples.

- Note that the function might be piecewise. As in, it might be a polynomial for a certain range of the domain, and another polynomial in the other (or it might be other functions like exponential or trigonometric instead).