Question

How do I do this myself

f(x)={
(x+5)
2
−2
3
2
​
x+4
​

for −6≤x<−3
1
1
​

for −3≤x<0
1
1
1


1
1
1


​

​

Find , f, of, minus, 3
Find f(−3)

Answer 1

Look at which piece of the definition contains x = −3. The pieces are given for
-6 ≤ x < −3 and −3 ≤ x < 0. Because the second piece includes −3 (it has "−3 ≤ x"), you use the second-piece formula.

The second piece is the constant 1, so
f(−3) = 1.