How do you write #f(x) = |x| + 3x + 1# as a piecewise function? Algebra Linear Inequalities and Absolute Value Graphs of Absolute Value Equations 1 Answer Alan P. Jun 13, 2017 #f(x)={(4x+1color(white)("xxx")x>=0),(2x+1color(white)("xxx")x< 0):}# Explanation: If #x >=0# then #abs(x)=x# and if #x< 0# then #abs(x)=-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 6380 views around the world You can reuse this answer Creative Commons License