Question

Which graph is the graph of this function?

Answer 1

Answer:

Option 3. is the answer.

Step-by-step explanation:

The given function is represented by the f(x) = 3$\sqrt{x+1}$ 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.

Answer 2

Okay, the graph which looks to be most likely is C. I'm not 100% sure, but it appears to best represent the overall flow of the function.