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kow [346]
3 years ago
14

Locate the asymptotes and graph the rational function f(x)=-9/ x^2-25

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0
It is where the denominator equals 0. so set x^2-25 =0 so x= 5,-5
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Llana [10]
<h2>Answer:</h2>

The vertex of the function is:

                             (-2,-2)

<h2>Step-by-step explanation:</h2>

We are given a absolute value function f(x) in terms of variable "x" as:

                       f(x)=-|x+2|-2

We know that for any absolute function of the general form:

f(x)=a|x-h|+k

the vertex of the function is : (h,k)

and if a<0 the graph of function opens downwards.

and if a>0 the graph of the function opens upwards.

Hence, here after comparing  the equation with general form of the equation we see that:

a= -1<0 , h= -2 and k= -2

Since a is negative , hence, the graph opens down .

         Hence, the vertex of the function is:

                         (-2,-2)

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Lady_Fox [76]

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Step-by-step explanation:

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