Grades 11-12 Video Solutions 2011-11&12 Video Solutions 2011 problem15

11&12 Video Solutions 2011 problem15

Video Transcription

Video Summary

The video analyzes functions whose graphs are part of a larger graph depicted in the video. It discusses the square root function and its reflections across the axes, involving four functions: \(\sqrt{x}\), \(-\sqrt{x}\), \(\sqrt{-x}\), and \(-\sqrt{-x}\). Using absolute value, these are grouped into \(\sqrt{|x|}\) and \(-\sqrt{|x|}\), covering quadrants one through four. The quadratic functions \(y = x^2\) and \(y = -x^2\) are missing from the graph, indicated by their points not appearing. In total, six of eight functions are represented, with D being the correct answer.

Keywords

square root function

reflections

quadrants

quadratic functions

graph analysis