Question 164397
You can look at it as 2 functions added together
{{{f(x) = 4}}}
{{{f(x) = -abs(x)}}}
For the 1st one, the funtion is always {{{4}}} no matter what {{{x}}}
is, so it's a horizontal line at {{{f(x) = 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