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

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?

Select all that apply
• A
• B

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

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

Select all that apply
• A
• B

## 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)