Question

which of the following rational functions is graphed below

A.)
$f(x) \frac{1}{x + 4}$
B.)
$f(x) \frac{1}{4x}$


C.)
$f(x) \frac{1}{x - 4}$


D.)
$f(x) \frac{1 - x}{4}$

Answer 1

C.
the dotted line  is the vertical asymptote, the value that x can never be. x can not be 4 this case, because x+4, the denominator, cannot be 0.

Answer 2

Answer:

Option C

Step-by-step explanation:

Given is a graph and 4 functions.  We have to choose the function corresponding to the graph.

The graph has a discontinuity at x=4 and also there is a vertical asymptote of x=4

Hence we find that the corresponding funciton should have x-4 in the denominator

Out of four functions given, only C satisfies this

Hence C)$f(x) = \frac{1}{x-4}$

is the correct answer.