Functions and graphs

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

Mapping vs Functions

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