Question

Which graph is the graph of this function?

Answer 1

Option C. is the answer.

Explanation:

At x = 0 value of the given function will be

`f(x)=√(x+1)`

`f(0)=3√(0+1)=3.(1)=3`

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

`f(x)=5-x`

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.

Answer 2

graph the easier one first

from 5-x for 3≤x≤5
so we see the ≤ for both so filled in circles
graph f(x)=5-x from x=3 to x=5
plot (3,2) and (5,0) and connect them and fill in the points/dots

that's only the 3rd graph