Question

WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP BROO!!!

Find the domain of the following function.

f(x)= 3 if -4 ≤ x < 2 and 2x if 2 ≤ x ≤ 10

A.
all real numbers
B.
all real numbers except for 2
C.
-∞ < x ≤ 10
D.
-4 ≤ x ≤ 10

Answer 1

I believe a graph is easier to understand this problem:

(- ∞----------------------------(- 4)--------0------(+2)----------------(+10)---(+∞)
a) (-4 ≤ x < 2)                     ⊕==========∅    interval[  -4 , 2[
b) (2 ≤ x ≤ 10)                                             ⊕============⊕ [2, 10]

Domaine = [ -4, 2[ ∪ [ 2, 10]

Domaine -4 ≤ x≤ 10