Functions and graphs

Page 1

The Modulus Function

What is the modulus Function?

The modulus function is used for expressing a difference. It shows the non negative value by calculating the magnitude.

What is the modulus function used for/Why is it useful?

We can use |x| when x is less than 0 and we are trying to find a magnitude.

e.g.|6|=6 and|-7.1|=7.1

f(5)=|2(5)-3|+1 =|7|+1=8

f(-2)=|2(-2)-3|+1 =|-7|+1=8

f(1)=|2(1)-3|+1 =|-1|+1=2

How do you sketch a modulus graph?

You draw the regular graph then reflect all the y values the axis to above the x axis.

y = |f(x)| = a reflection in the x axis

y = f|(x)| = a reflection in the y axis

Page 2

Mapping vs Functions

What is mapping?

Mapping is something which maps one set of numbers to another. For example inputs to outputs.