Mathematics: What is the graph of the function f(x)= f(x)=-x^2-9x-20/x+4?

answer: whts lame? step-by-step explanation:...

What is the graph of the function f(x)= f(x)=-x^2-9x-20/x+4?

gonzalesalexiaouv1bg

14.03.2022

Graph in attachment

Step-by-step explanation:

Given: $f(x)=\dfrac{-x^2-9x-20}{x+4}$

We need to draw the graph of rational function f(x).

First we find the x and y intercept of f(x)

For x-intercept: put f(x)=0

$\dfrac{-x^2-9x-20}{x+4}=0$

-x^2-9x-20=0

(x+5)(x+4)=0

x=-5

For y-intercept: Put x=0

$f(0)=\dfrac{0^2-9\cdot0-20}{0+4}$

f(0)=-5

For vertical asymptote: Set denominator to 0

x+4=0

But x+4 is common factor at numerator and denominator.

So, x=-4 will be hole of the graph.

Hole: x=-4

Using above information to draw the graph.

Please find attachment for graph.

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