Please help me with the explanation

9514 1404 393

  C

Step-by-step explanation:

The ratio of highest-degree terms gives the horizontal asymptote:

  (-2x)/(x) = -2

The horizontal asymptote of this function is y = -2. The only graph that shows that is graph C.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: