Question

Which of the following rational functions is graphed below

A.)

`f(x) (1)/(x + 4)`
B.)

`f(x) (1)/(4x)`


C.)

`f(x) (1)/(x - 4)`


D.)

`f(x) (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

Option C

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) = (1)/(x-4)`

is the correct answer.