Question

Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3

Answer 1

Answer:

the last (4th) option

Step-by-step explanation:

the easiest way to find the right answer :

which of the 4 answers would deliver infinity for x = 5 ?

and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.

other indications :

the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.

and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.

looking at the graph, this has to be +3.

and again, only the 4th answer has "+3" at the end.