Which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9
1 answer:
Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form 
. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
In the denominator we have a difference of squares:
Now we can rewrite our function:
From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at
and 
We can conclude that the graphic of our rational function is:
In the denominator we have a difference of squares:
Now we can rewrite our function:
From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at
We can conclude that the graphic of our rational function is:
You might be interested in
We are given
Jim's backyard:
Length is
width is
Since, this is rectangle
so, we can find area of rectangle
Area of one sod:
length is
width is
Since, it is rectangle in shape
so,
Number of pieces of sod:
we can use formula
Number of pieces of sod = (area of Jim's backyard)/(area of one sod)
now, we can simplify it
pieces need ..............Answer