We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
451
1
avatar

The graph of $y=f(x)$ for $-3\le x\le 3$ is shown below. On this interval, what is the range of $f(x)-x$? Express your answer in interval notation.

 Jul 26, 2018
 #1
avatar+102320 
+1

Note that  in each  "piecewise"  part of the function, the  greatest value of  [f(x)  - x]  occurs at the left part of the interval  and is   0

 

And note that the least value of  f(x)  - x  occurs at the right part of the piecewise interval and is  "almost"  -1

 

So...the range of  f(x)  - x   is  ( -1, 0 ] 

 

 

cool cool cool

 Jul 26, 2018

13 Online Users

avatar
avatar