Question

What is the graph of the function f(x) = the quantity of negative x squared plus 4 x plus 6, all over x plus 4? I am stressing over this question is just confusing for me help me please

Answer 1

Answer:

The graph of the function is given below.

We are given the function, $f(x)=\frac{-x^2+4x+6}{x+4}$

We see that, when x= 0, the value of the function is,

$f(0)=\frac{-0^2+40+6}{x+0}$ i.e. $f(0)=\frac{6}{4}=\frac{3}{2}$.

So, the y-intercept is $(0,\frac{3}{2})$.

Also, the zeroes of the function are given by,

$f(x)=\frac{-x^2+4x+6}{x+4}=0$

i.e.$-x^2+4x+6=0$

i.e. (x+1.162)(x-5.162)=0

i.e. x= -1.162 and x= 5.162

Thus, the x-intercept are (0,-1.162) and (0,5.162).

The graph of the function is given below.

Answer 2

I assume you are saying f(x) = (-x^2 + 4x + 6) / (x+4)

Here is the graph:

Go to WolframAlpha and check by yourself