Q
Question

sketch the graph 𝑦=(𝑥^2 −𝑥−6)/(𝑥+ 1)
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Answer

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Step 1

x = 3, -2
First, let's find the critical points of the function by setting the numerator equal to zero and solving for x: Factoring the quadratic equation, we get: Setting each factor equal to zero, we find the critical points:

Step 2

x = -1
Now, let's find the vertical asymptote by setting the denominator equal to zero and solving for x: So, the vertical asymptote is x = - 1.

Final Answer

The graph of y = (x^2 - x - 6)/(x + 1) is sketched below. ![Graph of y=(x^2 −x−6)/(x+ 1)](https://i.imgur.com/KDJxQ^6v.png)

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