SOLUTION: Given the following piecewise function: f(x) = {(x+4 for x < -3) (-1 for -3 less than or equal to x <5)(2x for x > 5)} a. Find the domain. b. Find the range. c. Find the inte

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Question 616902: Given the following piecewise function:
f(x) = {(x+4 for x < -3) (-1 for -3 less than or equal to x <5)(2x for x > 5)}
a. Find the domain.
b. Find the range.
c. Find the intercepts.
d. Is f continous on its domain? If not, state where f discontinous.
e. Graph the function.
Please show steps for solving.
Thank you so very much!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given the following piecewise function:
f(x) = {(x+4 for x < -3)
(-1 for -3 less than or equal to x <5)
(2x for x > 5)}
---------------------------
a. Find the domain.All Real Numbers except x = 5
-------------------------------
b. Find the range:::(-oo,1)U[10,+oo)
--------------------------------------
c. Find the intercepts.
x-intercept: (-4,0)
y-intercept: (0.-1)
---------------------------------------
d. Is f continous on its domain?:::No
----------------------------------------
If not, state where f discontinous.
Discontinuous at x = -3 and at x = 5
====================
e. Graph the function.
A piecewise function cannot be graphed on one set of axis on this site.
================================
Cheers,
Stan H.
======================

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