SOLUTION: f(x)=
{x+1 if x>4
{ -(x+1) if x<=4
;
f(1)
Algebra.Com
Question 1176450: f(x)=
{x+1 if x>4
{ -(x+1) if x<=4
;
f(1)
Found 2 solutions by Solver92311, math_tutor2020:
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
Write out the entire function in pencil. Erase every 
and write a 
in its place. Do the arithmetic for the appropriate piece of the function.
John
My calculator said it, I believe it, that settles it
From
I > Ø
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
We want to evaluate f(1)
This means we want to evaluate f(x) when x = 1.
The piecewise function is
This is basically saying
If x > 4, then f(x) = x+1
OR
If , then f(x) = -(x+1)
You can only pick one branch. You cannot pick both at the same time.
As you can see, it all depends on what x is.
Since x = 1, and , this means we go with the branch that has . This is the lower branch.
Plug x = 1 into this version of f(x)
f(x) = -(x+1)
f(1) = -(1+1)
f(1) = -(2)
f(1) = -2
Answer: -2
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