Using a calculator to build a table and a graph or using a graphing calculator, describe the behavior of the graph of the equation as x approaches -7. $$y = \frac { x + 8 } { ( x + 7 ) ( x - 8 ) }$$
A) Y approaches $+ \infty$ from the left and $- \infty$ from the right.
B) Y approaches $- \infty$ from the left and $+ \infty$ from the right.
C) Y approaches $- 8$ from the left and $8$ from the right.
D) Y approaches $8$ from the left and $- 8$ from the right.
E) Y approaches $\infty$ from the left and $8$ from the right.

Question

Quizplus · Accepted Answer

Using a calculator or graphing calculator, as we approach x = -7 from the left (x = -7.1, x = -7.01, x = -7.001, etc.), we will see that y is becoming increasingly large and positive, approaching positive infinity. As we approach x = -7 from the right (x = -6.9, x = -6.99, x = -6.999, etc.), we will see that y is becoming increasingly large and negative, approaching negative infinity. Therefore, the answer is A, y approaches positive infinity from the left and negative infinity from the right.

Using a Calculator to Build a Table and a Graph y=x+8(x+7)(x−8)y = \frac { x + 8 } { ( x + 7 ) ( x - 8 ) }y=(x+7)(x−8)x+8​

Using a Calculator to Build a Table and a Graph $y = \frac { x + 8 } { ( x + 7 ) ( x - 8 ) }$