Choose the function that has: Domain: x*-1
Range: y# 2
O
Ax)= x+2
x-1
O
2x+1
Ax)=
x+1
2x+ 1
(x) =
x-1

Given:

To find:

The function for the given domain and range.

Solution:

A function is not defined for some values that makes the denominator equals to 0.

The denominator of functions in option A and C is .

So, the functions in option A and C are not defined for but defined for . Therefore, the options A and C are incorrect.

In option B, the denominator is equal to .

So, the function is not defined for . Thus, .

If degree of numerator and denominator are equal then the horizontal asymptote is , where a is the leading coefficient of numerator and b is the leading coefficient of denominator.

In option B, the leading coefficient of numerator is 2 and the leading coefficient of denominator is 1. So, the horizontal asymptote is:

It means, the value of the function cannot be 2 at any point. So, .

Hence, option B is correct.

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step-by-step explanation: