SOLUTION: What is the graph of the rational function? y = 2x +4 ===== x + 1

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Question 625650: What is the graph of the rational function?
y = 2x +4
=====
x + 1

Answer by reynard2007(52) About Me  (Show Source):
You can put this solution on YOUR website!

In solving problems like this, you have to find the following:
 
x-intercept/s: This is where the graph touches the x-axis. For that to happen, y must be equal to zero. So, you have to solve for x and make the expression equal to 0
%282x%2B4%29%2F%28x%2B1%29=0
2x%2B4=0
x=-2
-->The x-intercept is at point (-2,0)
 
y-intercept/s: This is where your graph touches the y-axis. Here x must be the one equal to zero.
%282%280%29%2B4%29%2F%28%280%29%2B1%29=4
--> The y-intercept is at point (0,4)
 
critical value/s: For a rational function, this is where the value of the denominator is zero making the whole expression undefined.
x%2B1=0 --> x=-1 This is a line where the graph breaks.
Plot these points and some more using values of x near the left and right of the critical value.
The graph of %282x%2B4%29%2F%28x%2B1%29 is below:
graph%28500%2C500%2C+-10%2C10%2C-10%2C10%2C%282x%2B4%29%2F%28x%2B1%29%29