Graph y=D(x) for x in the interval (0,6].

Question

An express-mail company charges $25 for a package weighing up to 2 pounds. For each additional pound or fraction of a pound, there is an additional charge of $3. Let D(x) represent the cost to send a package weighing x pounds. Graph y=D(x) for x in the interval (0,6].

Answer 1

This is a step function.

 

You start with an open circle on (0,25), draw a vertical line to 

(2,25), put a solid dot here

 

put open circle on (2,28), vertical line to solid dot on (3,28)

 

open circle on (3,31), line to solid dot on (4,31)

 

continue this his pattern until solid dot on (6,37)