Which graph is the graph of this function?





Answer:
Option C. is the answer.
Step-by-step explanation:
At x = 0 value of the given function will be
[tex]f(x)=\sqrt{x+1}[/tex]
[tex]f(0)=3\sqrt{0+1}=3.(1)=3[/tex]
So we find y intercept = 3 either in graph B or in graph C
So we find two options which may be right are option B and option C.
Now at x = 3
[tex]f(x)=5-x[/tex]
f(3) = 5 -3 = 2
Now we see a solid point at (3, 2) on graph C which confirms the inequality 3 ≤ x ≤ 5
Now we are confirm that the given function f(x) is defined by graph C.