+0  
 
0
146
3
avatar

1.

2.

3.

Guest Feb 9, 2018
 #1
avatar+89753 
+1

1.  f(x)  =   3√x   +  2

 

We can put in any real number for x.....so the domain  is just  (-inf, inf)

 

And any real  number can be generated from the function

 

So.....the range is also   (-inf, inf)

 

Here's the graph  :  https://www.desmos.com/calculator/sd0menwuyg

 

 

cool cool cool

CPhill  Feb 9, 2018
 #2
avatar+89753 
+1

2.  f(x)  =  2 √x

 

Note that we cannot put any negative values in the square root  [ this generates a non-real number ]

 

So  the domain is   [ 0, inf )

 

And  out of a positive square root, we can never get any  negative values

 

So.....the range is the same   [0, inf )

 

Here's a graph : https://www.desmos.com/calculator/hndidezpmc

 

 

cool cool cool

CPhill  Feb 9, 2018
 #3
avatar+89753 
+1

3.   f(x)  =  3√x      ⇒   f(x)  =  -23√x  -  1

 

The  "-"  out front reflects the  graph across the x axis

 

The "2"  "vertically stretches " the graph away from the x axis

 

The  "-1"  at the end shifts the graph down 1 unit

 

 

cool cool cool

CPhill  Feb 9, 2018

33 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.