How do you graph #yabs(2x)#?

Question

How do you graph #y>abs(2x)#?

Nathan Axel · Accepted Answer

Refer to the explanation.

Graph: #y>abs(2x)# Since #abs(a)=+-a#, there are two equations to graph. #color(red)(y)>color(blue)(2)color(magenta)(x## and ##color(red)y> color(purple)(-2)color(magenta)(x# Determine several points for #color(red)(y)>color(blue)(2)color(magenta)(x# by choosing values for #x# and solving for #y#. #"Points"# #x=0,##y=0# #x=1,##y=2# #x=2,##y=4# Plot the points and draw a dashed line through the points. The shade the area above the line. The dashed line indicates that the line is not part of the inequality. Determine several points for #color(red)(y)> color(purple)(-2)color(magenta)(x)#. #"Points"# #x=0,##y=0# #x=-1,##y=2# #x=-2,##y=4# Plot the points and draw a dashed line through the points. The shade the area above the line. graph{y>abs(2x) [-10, 10, -5, 5]}

Ethan Adkins · Answer

undefined To graph $ y > |2x| $, you first graph the equation $ y = |2x| $. This is a V-shaped graph with its vertex at the origin and opening upwards. Then, since the inequality is $ y > |2x| $, you shade the region above the graph of $ y = |2x| $ excluding the actual line $ y = |2x| $.

How do you graph #y&gt;abs(2x)#?

How do you graph #y>abs(2x)#?