Piece wise function

Question

Use the piece wise function to find the following values for f(x). 

 

f(x)={ 4x      If x if greater than/equal to 0. 

        {x-3     If x > 0 

 

 

a. f(-3)=

b. f(0)=

c. f(1)= 

Answer 1

a) 

 

f(-3) means evaluate f(x) when x=-3.   There is no f(x) that satisfies this x value.  You cannot evaluate f(-3).

 

 

b)

 

f(0) means evaluate f(x) when x=0.  We evaluate f(x) = 4x.

 

f(0) = 4(0) = 0

 

 

c)

 

f(1) means evaluate f(x) when x=1.  We evaluate f(x) = x - 3.

 

f(1) = 1 - 3 = -2