# (sin x) - Periodicity and other simple properties of functions

- Author:
- Megan Dunford

- Topic:
- Functions

In exercise 5.7 and 5.8 you looked and the periodicity and other simple properties of functions.
Where,
has amplitude 1 and period
has amplitude 1 and period
has no amplitude and period
In this GeoGebra you are going to look at the different properties and periodicity of each function and what happens when you alter the functions with different functions

## Periodicity and other simple properties of f(x) = sin (x)

has amplitude and period
Have a play with the GeoGebra below. Start to notice what happens when you move the sliders

## Amplitude of the function f(x)= sin(x).

Which slider in the GeoGebra changes the amplitude of the function?

## Period of the function f(x) = sin(x)

Which slider in the GeoGebra changes the period of the function?

## Amplitude of the function f(x) = sin(x)

Explain what happens to the amplitude of the function f(x) = sin(x) when the amplitude is 5

## Amplitude of the function f(x) = sin(x)

Explain what happens to the amplitude of the function f(x) = sin(x) when the amplitude is -2.

## Period of the function f(x) = sin(x)

Explain what happens to the function f(x) = sin(x) when the period (b) is . (Hence the slider =3)

## Period of the function f(x) = sin(x)

Explain what happens to the function f(x) when the period(b) is . (Hence the slider is -1)