How do you write #H(x) = 2/3|x-5|# as a piecewise function? Algebra Linear Inequalities and Absolute Value Graphs of Absolute Value Equations 1 Answer Alan P. Aug 17, 2017 #H(x)={((2x-10)/3 color(white)("xxx")"if "x>=5),((10-2x)/3 color(white)("xxx")"if "x < 5):}# Explanation: If #(x-5) < 0 (rarr x < 5)# then #abs(x-5)=5-x# Answer link Related questions How do you graph absolute value equations on a coordinate plane? How do you create a table of values for an absolute value equation? How do you know which x values to choose when creating a table of values for an absolute value equation? What is the shape of an absolute value graph? How do you find a vertex by looking at an absolute value equation? How do you graph the equation #y=|x+2|+3#? Which x values do you choose to create a #(x, y)# table for #y=|x+5| #? How do you graph #y=4|x|-2#? Where is the vertex for #y= |x/3-4 |#? How do you graph #f(x)=abs(x-3)+4#? See all questions in Graphs of Absolute Value Equations Impact of this question 1277 views around the world You can reuse this answer Creative Commons License