Which of the following is the graph of $\frac { x ^ { 2 } + 24 } { x + 8 } 0$ on a horizontal span of 0 to 4.5?

Question

Quizplus · Accepted Answer

To determine the graph of the function, we can simplify the expression first:

$$\frac { x ^ { 2 } + 24 } { x + 8 }=\frac {(x+8)(x-8)+88}{x+8}=x-8+\frac{88}{x+8}$$

We can see that as x approaches infinity or negative infinity, the curve approaches the line y=x-8. Also, there is a vertical asymptote at x=-8 (where the denominator is zero). 
Option C matches these characteristics with the correct intercepts and asymptotes, while the other options do not match the characteristics of the function.

Which of the Following Is the Graph Of x2+24x+80\frac { x ^ { 2 } + 24 } { x + 8 } 0x+8x2+24​0

Which of the Following Is the Graph Of $\frac { x ^ { 2 } + 24 } { x + 8 } 0$