Question: We explore functions whose graphs approach a nonhorizontal line as x . A line y = ax + b is called a slant asymptote

We explore functions whose graphs approach a nonhorizontal line as x → ∞. A line y = ax + b is called a slant asymptote if

or lim (f(x) (ax+b)) = 0 X-00 lim (f(x) (ax + b)) = 0 X--0

Let f(x) = x x-1 (Figure 21). Verify the following:

(a) f(0) is a local max and f(2) a local min. (b) fis concave down on (-, 1) and concave up on (1, 0). (c)


or lim (f(x) (ax+b)) = 0 X-00 lim (f(x) (ax + b)) = 0 X--0

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