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which of the following rational functions is graphed below

A.)
[tex]f(x) \frac{1}{x + 4} [/tex]
B.)
[tex]f(x) \frac{1}{4x} [/tex]


C.)
[tex]f(x) \frac{1}{x - 4} [/tex]


D.)
[tex]f(x) \frac{1 - x}{4} [/tex]

which of the following rational functions is graphed belowAtexfx frac1x 4 texBtexfx frac14x texCtexfx frac1x 4 texDtexfx frac1 x4 tex class=

Respuesta :

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:

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)[tex]f(x) = \frac{1}{x-4}[/tex]

is the correct answer.

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