If the graph of a function passes through the origin, what must be true of the function?
A.

The graph of the function must be a straight line.
B.

The domain of the function contains only positive values of x.
C.

The function cannot contain a non-zero constant.
D.

As x increases, y must also increase.

Question

If the graph of a function passes through the origin, what must be true of the function?
A.
	
The graph of the function must be a straight line.
B.
	
The domain of the function contains only positive values of x.
C.
	
The function cannot contain a non-zero constant.
D.
	
As x increases, y must also increase.

anonymous · Answer

Its C i get it now (: am i right?

solomonzelman · Answer

A graph that passes through the origin can be anything, the only difference is that it goes through (0,0) but it can be a curve, a parabola opening up or down, or a line.

The domain, is usually (-∞,∞)  i.e.  all real numbers including negatives. Just because it passes through (0,0) it doesn't limit the domain.

The function can not contain a none zero constant, because a none zero constant is an intercept of a function that is not equal to zero, but if it passes through the origin, then both x-intercept, and y-intercept is ZERO.

For D, any line with a negative slope, or a exponential decay will disprove that.

solomonzelman · Answer

You are right, it is C.

solomonzelman · Answer

If you need more help let me know... I will be offline though in about 10 minutes.

anonymous · Answer

can i message you? :) @SolomonZelman

solomonzelman · Answer

I don't answer questions through messages, I am sorry about that, but you can tag me. I don't really need medals, because I have enough.