Question

A)i.Write the the absolute value function y=|2x+5|+3|x-1| as a piece-wise function.

Answer 1

Answer:

Step-by-step explanation:

for |2x+5|=

$\left \{ {{2x+5}~~~~if~~~~2x+5 > 0 ~~or ~~~~x>\frac{-5}{2}~~(case 1) \\ \atop {-2x-5}} ~~~~~if~~~2x+5$

for |x-1| = $\left \{ {{x-1 } ~~~~if~~~x-1>0 ~~~or~~~x>1 ~~(case 3)\atop {1-x}} ~~~~if ~~~~x-1$