SOLUTION: ok, so i'm in algebra one, and i have a test tommorow on our unit. one thing I don't get is domain and range. it shows an oval, and three numbers inside. i get the first and last o

Question 999461: ok, so i'm in algebra one, and i have a test tommorow on our unit. one thing I don't get is domain and range. it shows an oval, and three numbers inside. i get the first and last one, but not the middle one. I don't know how to make a piecewise function with the {{}} thing so i'll put it as 2 layers. the piecewise function that i need help on is:
f(x)=3x+11 -5<=x<=-2
-x/2+5 -2 sorry for bad grammar i rushed through this! :)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
one thing I don't get is domain and range. it shows an oval, and three numbers inside. i get the first and last one, but not the middle one. I don't know how to make a piecewise function with the {{}} thing so i'll put it as 2 layers. the piecewise function that i need help on is:
f(x) = 3x+11 when -5<=x<=-2
f(x) =-x/2+5 when -2 < x <=4
--------
Domain
This says the Domain (values of x) is "All Real numbers greater
than or equal to -5 and less than of equal to 4".
------
Range
The range is the set of values "y" takes when the domain values are applied.
----
y = 3x+11 has values between f(-5) and f(-2)
f(-5) = (3(-5)+11) = -4
f(-2) = (3(-2)+11) = 5
--------
y = (-1/2)x+5 has values from f(2) and f(4)
f(2) = (-1/2)(2)+5 = 4
f(4) = (-1/2)(4)+5 = 3
--------
So, what is the range?
The lowest value is f(-5) = -4
The highest value is f(-2) = 5
----
So, the Range is "All Real Numbers from -4 to 5".
------
You will see the Domain and the Range if you graph
each of the pieces of the function on its own Domain.
-----
Cheers,
Stan H.
---------------
RELATED QUESTIONS
I don;t get this graphing thing at all! I have to solve the system of linear equations by (answered by ankor@dixie-net.com)

Ok so I have a 99 in a class and recently I made a 67 on a test. It is 30% of our grade.... (answered by Fombitz)

OK now this algebra problem gave me the answer which is -94. Unless i copied it down... (answered by checkley71)

Ok, shhhhhhhhhhh I am a 48 year old, 26 year veteran second grade teacher taking a math... (answered by stanbon,josmiceli)

hey there, I really don�t know in which category this goes, but my teacher gave me this... (answered by josgarithmetic)

ok hey wats up?? i have a q. when u add a positve fraction which is 12 and 5/11+ negative (answered by foreverinfaith)

A=FV-OV/T for OV (How do I solve... (answered by Fombitz)

I am having a difficult time with this question, its been 10 years since needing to do... (answered by solver91311)

I have tried these questions and this is what I have got so far but I am lost and totally (answered by Fombitz)