Help =(

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Melissa2011

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Jul 17, 2012
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Given the following piecewise function:
f(x) = { -x + 1 for x < 0
-1 for 0 ≤ x ≤ 3
-2x for x > 3
a. Find the domain.
b. Find the range.
c. Find the intercepts.
d. Is f continuous on its domain? If not, state where f is discontinuous.
e. Graph the function.

I have used many resources and I still do not understand this clearly:(
 
Melissa2011 said:
Given the following piecewise function:
f(x) = { -x + 1 for x < 0
-1 for 0 ≤ x ≤ 3
-2x for x > 3
a. Find the domain.
b. Find the range.
c. Find the intercepts.
d. Is f continuous on its domain? If not, state where f is discontinuous.
e. Graph the function.

I have used many resources and I still do not understand this clearly:(
Click to expand...
Which parts do you not understand? Do you understand all the terms: piecewise, domain, range, intercepts, continuous? Can you draw the graph of this function?

If you understand the terms and can draw the graph, the answers should then become obvious. Please lets us know exactly where you are stuck.
 
I do not understand

No I really do not know how to get the domain or graph the function I do not even think I should be in pre calculus =(
 
I am not sure....there are three different pieces....am I supposed to give three different domains or one domain for all of it?
 
Melissa2011 said:
No I really do not know how to get the domain or graph the function I do not even think I should be in pre calculus =(
Click to expand...

Okay, start by understanding how to graph a piecewise function here:

http://www.purplemath.com/modules/graphing3.htm

It's really quite simple once you see the example. In the purplemath example, there are only two different regions to graph, so they show one dotted line dividing the graph into those two regions. Your problem will have three regions, so you will have two dotted lines -- one at x = 0 and one at x = 3. Read the example and then try graphing your function.
 
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