Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Graphing Absolute Value Functions

Graphing Absolute Value Functions 1.10 - Solution

arrow_back Return to Graphing Absolute Value Functions

In order to decide for what values of xx the function y=x3y=|x|-3 is increasing and decreasing, we will make a table of values.

xx y=x3y=|x|-3
-4\text{-}4 11
-3\text{-}3 00
-2\text{-}2 -1\text{-} 1
-1\text{-}1 -2\text{-} 2
00 -3\text{-} 3
11 -2\text{-} 2
22 -1\text{-} 1
33 00
44 11

In the table of values we can see that for the negative values of x,x, as xx increases, the function decreases. For the positive values of x,x, as xx increases, the function increases. This we can write as follows. x<0:the function decreasesx>0:the function increases\begin{aligned} x<0: \quad &\text{the function decreases} \\ x>0: \quad &\text{the function increases} \end{aligned}