How do you write #f(x)= |-18x-17| # as a piecewise function?

1 Answer
Oct 29, 2017

Answer:

Please see below.

Explanation:

We can write #abs(u) = {(u,"if",u >= 0),(-u,"if",u < 0):}#

So,

#abs(-18x-17) = {(-18x-17,"if",-18x-17 >= 0),(-(-18x-17),"if",-18x-17 < 0):}#

# = {(-18x-17,"if",-18x-17 >= 0),(18x+17,"if",-18x - 17 < 0):}#

# = {(-18x-17,"if",-18x >= 17),(18x+17,"if",-18x < 17):}#

# = {(-18x-17,"if",x <= -17/18),(18x+17,"if",x > -17/18):}#