Sketch the indicated curve. Find the intercepts. Find any asymptotes. Find any relative extrema and determine the intervals on which the curve is increasing and the intervals on which it is decreasing. Find any inflection points. Determine the intervals on which the curve is concave up and the intervals on which it is concave down.y =

Question

What will be an ideal response?

Answer 1

x- and y-intercept: (0, 0)
Vertical asymptote: x = 2
Horizontal asymptote: y = 1
No relative extrema
Decreasing x < 2, x > 2
No inflection points
Concave down x < 2, concave up x > 2