SOLUTION: Can you find the points of disconinuity, and x- and y- intercepts of each rational function and determine whether the discontinuities are removable or non-removable for the problem

Question 549063: Can you find the points of disconinuity, and x- and y- intercepts of each rational function and determine whether the discontinuities are removable or non-removable for the problem
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
y=(2x^2+5)/(x^2-2x
**
To find x-intercepts, set y=0, then solve for x
2x^2+5=0
2x^2=-5
no real solution
x-intercepts: none
..
To find y-intercepts, set x=0, then solve for y
If x=0, function becomes undefined
y-intercepts: none
..
To find discontinuities set denominator=0, then solve for x
x^2-2x=0
x(x-2)=0
x=0 and x=2
Infinite discontinuities at x=0 and x=2
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