SOLUTION: Given the piecewise function, find A to D. f(x) = piecewise function 3x if x does not equal 0 is the top portion of the function. 4 if x = 0 is the bottom portion of the f

Algebra ->  Functions -> SOLUTION: Given the piecewise function, find A to D. f(x) = piecewise function 3x if x does not equal 0 is the top portion of the function. 4 if x = 0 is the bottom portion of the f      Log On


   



Question 1208065: Given the piecewise function, find A to D.
f(x) = piecewise function
3x if x does not equal 0 is the top portion of the function.
4 if x = 0 is the bottom portion of the function.

A. Find domain.
B. Find range.
C. Locate intercepts.
D. Is f continuous on its domain?


Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

(A)  The domain is the set of all real numbers (= the entire number line).


(B)  The range is the set of all real numbers except of 0 (of zero).


(C)  Intercepts.  x-intercepts:  the point  y= 4  on y-axis  x= 0.

                  y-intercepts:  no y-intercepts.


(D)  f is not a continuous function on its domain.