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Question: Maple not showing multiple discontinuities?

Question:Maple not showing multiple discontinuities?

HL2016 5 Maple 2016
discontinuity
November 01 2016
1


Hello all, first time posting on here so if I make any mistakes please let me know. So I have created a function called "g" and plotted it on a graph. After looking at the two graphs I have plotted (one with discont=false and one with discont=true), I can see 3 discontinuities are present. However, attempting to solve for these discontinuities by setting the denominator of "g" = 0 only returns 1 of the points. I'm not sure why this is happening and how would I go by solving for the other 2 points? Thank you.

> 

f := exp(x-188.5)-4*x^2+1507.964*x-142122.3+cos(x)^2;

exp(x-188.5)-4*x^2+1507.964*x-142122.3+cos(x)^2

 (1)
> 

g := (-f+x^2-376.991*x+35530.6)/(f+x^2-376.991*x+35530.6);

(-exp(x-188.5)+5*x^2-1884.955*x+177652.9-cos(x)^2)/(exp(x-188.5)-3*x^2+1130.973*x-106591.7+cos(x)^2)

 (2)
> 

``
> 

plot(g, x = 186 .. 194, y = -25 .. 25,discont=false)

 
> 

plot(g, x = 186 .. 194, y = -25 .. 25,discont=true)

 
> 

vasymp := fsolve( denom(g)=0);

192.2026966

 (3)
> 

``
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