MAT 136 Southern New Hampshire University 7- 2 Problem Set Module Seven graded A+

MAT 136 Southern New Hampshire University 7- 2 Problem Set Module Seven graded A+

Question 1: (6 points)

Find the domain of the rational function.

f (x) =

x−3

x+6

Enter your answer in interval notation.

To enter ∞, type infinity. To enter ∪, type U

Question 2: (9 points)

Find the domain, vertical asymptotes, and horizontal asymptotes of the function.

f (x) =

x

x2−64

Enter the domain in interval notation.

To enter ∞, type infinity. To enter ∪, type U.

Domain:

The fields below accept a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x − 1). The order of the lists do

not matter.

Vertical asymptotes:

x =

Horizontal asymptotes:

y =

Question 3: (7 points) Use the given transformation to graph the function. Note the vertical and horizontal asymptotes. The reciprocal squared function shifted to the right 5 units. Select the correct graph of the function.