SOLUTION: y=x+1/x²+6x+5 Find all discontinuities. Tell which discontinuities are holes and which are verticle asymptotes. Find all intercepts. Give them in point form. Fill in a t-chart

Algebra ->  Graphs -> SOLUTION: y=x+1/x²+6x+5 Find all discontinuities. Tell which discontinuities are holes and which are verticle asymptotes. Find all intercepts. Give them in point form. Fill in a t-chart       Log On


   

Question 1030356: y=x+1/x²+6x+5
Find all discontinuities.
Tell which discontinuities are holes and which are verticle asymptotes.
Find all intercepts. Give them in point form.
Fill in a t-chart to find at least 4 or more points, use all information obtained to sketch a graph.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y=x+1/x²+6x+5
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y = (x+1)/[(x+5)(x+1)
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Find all discontinuities.:: x = -1; x = -5
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Tell which discontinuities are holes and which are verticle asymptotes.
Hole at x = -1 ; VA at x = -5
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Find all intercepts. Give them in point form.
If x = 0, y = 1/5 ; If y = 0, x would have to be -1 but there is a hole there.
So no x-intercept
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Fill in a t-chart to find at least 4 or more points, use all information obtained to sketch a graph.
Points:: (0,1/5) ; (1,1/6) ; (2,3/21); (-2,-1/3)
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B1%29%2F%28%28x%2B5%29%28x%2B1%29%29%29
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Cheers,
Stan H.
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