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
227
2
avatar

1.) What is the range of the following function? 

 

 

2.) What is the equation of a linear function that passes through the points (−5, 33) and (2, 5)? 

 

3.) What is the equation of the following piece-wise function?

 

 

4.) Function g(x) is a transformation of f(x) . What is the equation of g(x) in termsof f(x)?  

 

 Feb 7, 2018
 #1
avatar+101369 
+1

1.    Range  =  [ -10, 0 )  U  [6, 13 ]

 

 

2.    (−5, 33) and (2, 5)

 

Slope  =   (33 - 5)  / ( -5 - 2)  =   28/ -7  =  - 4

 

Equation

 

y  = -4 ( x - -5) + 33

 

y  =  -4x - 20 + 33

 

y  =  -4x  + 13

 

 

 

4.   g(x)  is f(x)  shifted 3 units to the left and 6 units up  ...so...

 

g(x)    =   f(x + 3)  +  6

 

 

cool cool cool

 Feb 7, 2018
 #2
avatar+101369 
+1

3.

 

y  =  (5/6) (x + 4) + 3   ⇒  (5/6)x + 10/3 + 3  ⇒  (5/6)x + 19/3 

 

y  =  3

 

y = (2/7) (x - 5) + 6  ⇒  (2/7)x - 10/7 + 42/7  ⇒  (2/7)x + 32/7 

 

 

So....a possible piece-wise function is

 

                

               (5/6)x + 19/3         if   -10 ≤ x ≤ -4

 

y  =            3                         if     -4 < x  ≤ 5

 

                (2/7)x  + 32/7        if   5 < x  ≤ 12

 

 

 

 

cool cool cool

 Feb 7, 2018

9 Online Users

avatar
avatar