Which of the following ordered pairs would be the origin on a graph? A(0, -2)
B(1,0)
C(5,-5)
D(0,0)

D is the answer

Step-by-step explanation:

0,0 is the only one that both start at 0, which is crucial for the origin (or really just to make sure they have the exact same number :) )

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.