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For the piecewise linear fuction, find (a) f(-3), (b) f(-1), (c) f(0), (d) f(2), and (e) f(4)

 

f(x)=  2x if x ≤ -1

          x-1 if x > -1

(a) f(-3)=

(b) f(-1)=

(c) f(0)=

(d) f(2)=

(e) f(4)=

 

 

Thank You

 Jun 4, 2017
 #1
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f(x)   =    2x    if   x ≤ -1

              x-1   if   x > -1

 

 

(a)  Here, x is -3, and   -3 ≤ -1    , so use the top choice:     f(x) = 2x

 

Replace  " x "  with  -3

f(-3)  =  2(-3)

f(-3)  =  -6

 

 

(b)  Here, x is -1, and   -1 ≤ -1    , so use the top choice:     f(x) = 2x

 

Replace  " x "  with  -1

f(-1)  =  2(-1)

f(-1)  =  -2

 

 

(c)  Here, x is 0, and   0 > -1    , so use the bottom choice:     f(x) = x - 1

 

Replace  " x "  with  0

f(0)  =  0 - 1

f(0)  =  -1

 

 

(d)  Here, x is 2, and   2 > -1    , so use the bottom choice:     f(x) = x - 1

 

Replace  " x "  with  2

f(2)  =  2 - 1

f(2)  =  1

 

 

...

Can you do the last one now? smiley

 Jun 4, 2017

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