Math  /  Calculus

Question7. y=x2+1xy=\frac{x^{2}+1}{x} a. Find intervals increasing or decreasing
6. find intervaler concave up or concave down c. find all arymptoter d. points at local max, local min, paI e.sketch the function

Studdy Solution
Sketch the function using the information gathered:
1. Plot vertical asymptote at x=0 x = 0 .
2. Draw oblique asymptote y=x y = x .
3. Mark local max at x=1 x = -1 and local min at x=1 x = 1 .
4. Indicate intervals of increase and decrease.
5. Show concavity changes at x=0 x = 0 .

The function is sketched with all the critical features identified.

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