Question

f(x)=
⎩
⎨
⎧
​

−
3
2
​
x−3
x+4
−(x−3)
2
−2
​

for x<−3
1
1
1


1
1
1


​

for −3≤x≤1
1
1
​

for x>1
1
1
​

​

Find , f, of, 1
Find f(1)

Answer 1

f(1) = 1.

Reason: the piecewise definition gives f(x) = 1 for −3 ≤ x ≤ 1, and 1 is in that interval, so f(1)=1.