X-INTERCEPTS: Where the graph crosses the x-axis
Hey, this is the same as finding the zeros!
Set |
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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:
![x^2 - x - 6 ... ( x - 3 )( x + 2 ) = 0 ... x - 3 = 0 or x + 2 = 0 ... x = 3 , x = -2](/sites/default/files/images/16-graphing-09.gif)
So, the x-intercepts are the points
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and |
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TRY IT:
Find the x-intercepts of
BIG NOTE:
These processes find the ONLY
intercepts! |
(This info will be very important.)