SOLUTION: Having some trouble determing if I am right on my graph... please help me graph this equation Graph the function on paper f(x)=4-[x]

Algebra ->  Functions -> SOLUTION: Having some trouble determing if I am right on my graph... please help me graph this equation Graph the function on paper f(x)=4-[x]      Log On


   

Question 164397: Having some trouble determing if I am right on my graph...
please help me graph this equation
Graph the function on paper
f(x)=4-[x]
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can look at it as 2 functions added together
f%28x%29+=+4
f%28x%29+=+-abs%28x%29
For the 1st one, the funtion is always 4 no matter what x
is, so it's a horizontal line at f%28x%29+=+4
And the 2nd funtion is always negative no matter what x is
Plotting some points:
x --- f(x)
-5 -- -5
-4 -- -4
-3 -- -3
-2 -- -2
-1 -- -1
0 --- 0
+1 -- -1
+2 -- -2
+3 -- -3
+4 -- -4
+5 -- -5
What the 1st funtion does is shift the 2nd one up by 4 units, so
now the addition of the two becomes
x -- f(x)
-5 -- -1
-4 -- 0
-3 -- +1
-2 -- +2
-1 -- +3
0 -- +4
+1 -- +3
+2 -- +2
+3 -- +1
+4 -- 0
+5 -- -1
It's often helpful to break up equations like this