Question

Which graph represents the function f (x) = StartFraction 4 Over x EndFraction?

Answer 1

Answer:

2nd graph (image)

Step-by-step explanation:

The function to graph is:

$f(x)=\frac{4}{x}$

It follows the general pattern of the function:  $f(x)=\frac{1}{x}$, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).

The answer is either 1st, or 2nd graph.

Now, we simply can check a point in both.

lets take x = 4, so the function would be:

f(4) = 4/4 = 1

Hence, point is:

(4,1)

The first graph doesn't go through this point. The second graph does.

hence, we can successfully choose the 2nd graph as our answer.

Answer 2

Answer: The second graph represents the function