New Zealand
Level 7 - NCEA Level 2

Identify Characteristics of Absolute Value Functions II

Lesson

By 'identifying characteristics of absolute value functions', we mean recognising where critical points occur at which the gradient changes abruptly, and distinguishing regions where the function is increasing or decreasing.

A function of the form $y(x)=a+|x-b|$y(x)=a+|xb| must have a critical point at $x=b$x=b. This is the point at which the expression $x-b$xb changes in value from negative to positive.

D

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems