X-INTERCEPTS:  Where the graph crosses the x-axis

Hey, this is the same as finding the zeros!

Set

and solve

But, here's the cool thing:  For these rational guys, you just need to set the numerator = 0 and solve!

Why?  That's a great question  --  I'm glad you asked...

Well, when a fraction is 0, it's the same as saying the numerator is 0:

So, set the numerator = 0 and solve.

Check it out:

 

So, the x-intercepts are the points

and

 

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TRY IT:

Find the x-intercepts of

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BIG NOTE:

These processes find the ONLY intercepts! There will NOT be any others!!

(This info will be very important.)