Review the graph of f(x). On a coordinate plane, a curve approaches x = negative 2 in quadrant 3. Another curve approaches x = negative 2 in quadrant 2 and approaches x = 2 in quadrant 1. Another curve approaches x = 2 in quadrant 4. What is the function’s behavior close to the vertical asymptote x = 2?

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41