Question

Just need the letter choice answer don't need the explanation thanks,

Answer 1

correctTo find the corresc answer, lets examine the following:

1° - the function has an asymptote at x = -2.

It means that the function can not be defined for x = -2.

For option a)

`y(-2)=(1)/(-2-2)=-(1)/(4)`

a) is defined, so it is wrong!

for option b)

It can be b).

Lets analyse that x = 0 -> in a value positive between 1 and 2. For option b), we have:

`y(0)=(2)/(0-4)=-(1)/(2)`

it is negative, and the expected value was positive.

b) is wrong!!

For c), lets analyze x = -2

Now anallyzing x = 0:

`y(0)=(3)/(0+2)=1.5`

it is between 1 and 2, positive as we expected.

Lets check option d), for x = -2:

If we analyse it for x = 0, we have:

`y(0)=-(3)/(2*0+4)=-(3)/(4)`

It is negative, and for this reason, different from the graph!

d) is wrong!

Analysing e) for x = -2

`y(-2)=(1)/((-2)^2+2*(-2)+1)=(1)/(4-4+1)=1`

From the solution presented above, we are able to conclude that the correct answer is C)