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Where should I place the hollow point in this graph?

Where should I place the hollow point in this graph?-example-1
User Monessah
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1 Answer

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Hollow point is a point in which the function is undefined.

The function is undefined if the denominator is equal to 0.

From the problem, we have the function :


h(x)=(3x+15)/(x^2+7x+10)

Equate the denominator to 0.


x^2+7x+10=0

Then factor completely :


\begin{gathered} (x+5)(x+2)=0 \\ \text{Solve for the values of x :} \\ x+5=0 \\ x=-5 \\ \\ x+2=0 \\ x=-2 \end{gathered}

The values of x that will make the function undefined are x = -2 and -5

From the graph, the asymptote is located at x = -2, so we will put the hollow point at the other value of x which is x = -5

ANSWER :

Locate the hollow point at x = -5.

It will be :

Where should I place the hollow point in this graph?-example-1
User Max Mumford
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7.9k points