Answer:
Option 3. is the answer.
Step-by-step explanation:
The given function is represented by the f(x) = 3[tex]\sqrt{x+1}[/tex] if 0 ≤ x < 3
This means the given function is defined for the values between grater than equal to 0 and less than 3.
Similarly, f(x) = 5 -x if 3 ≤ x ≤ 5
So the function is defined for the values of x greater than equal to 3 and less than equal to 5.
Graph 1 - It is graphed for the values of 1 ≤ x ≤ 3.
Therefore, this is not the graph for the given function.
Graph 2 - This is the graph for a function between 0 ≤ x ≤ 3 and 4 ≤ x ≤ 5
Therefore, this is not for the given function.
Graph 3 - This graph shows the function defined between 0 ≤ x < 3 and 3 ≤ x ≤ 6
Therefore, this the correct graph given for the function.
Graph 4 - The given function in the graph has been graphed for 1 ≤ x ≤ 2 and 1 ≤ x ≤ 3
Therefore, it's an incorrect graph for the given function f(x).
Option 3. is the answer.
