Iwill mark the answer with the best explanation as ! if anyone could as soon as possible, i would greatly appreciate !

Step-by-step explanation:

The range of a function of variable x means the set of all possible values of the function.

The function, is given by .

.

For x < 0, we can not find any maximum or minimum value. So, in this case we need to find the limits.

.

Here, if you notice you will see as the function's value is - 1 - x, for x<0, the ultimate value of the function for all x<0 will be greater than - 1.

So, for x < 0 all the values of the function will be > -1.

For x > 0, .

For x = 0, the function's value will be 0.

The range of the function will be the all real numbers y > -1.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer: it's d

step-by-step explanation: