Question 625650
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In solving problems like this, you have to find the following:
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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
{{{(2x+4)/(x+1)=0}}}
{{{2x+4=0}}}
{{{x=-2}}}
-->The x-intercept is at point (-2,0)
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y-intercept/s: This is where your graph touches the y-axis. Here x must be the one equal to zero.
{{{(2(0)+4)/((0)+1)=4}}}
--> The y-intercept is at point (0,4)
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critical value/s: For a rational function, this is where the value of the denominator is zero making the whole expression undefined.
{{{x+1=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 {{{(2x+4)/(x+1)}}} is below:
{{{graph(500,500, -10,10,-10,10,(2x+4)/(x+1))}}}
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