SOLUTION: f(x)= {x+1 if x>4 { -(x+1) if x<=4 ; f(1)

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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