We explore functions whose graphs approach a nonhorizontal line as x A line y ax b is called a slant asymptote if Show that y 3x is a slant asymptote for (x) 3x x 2 Determine whether (x) approaches the slant asymptote from above or below, and make a sketch of the graph or lim (f(x) (ax b)) 0 X 00 lim (f(x) (ax b)) 0 X 0

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

Show that y = 3x is a slant asymptote for ƒ(x) = 3x + x⁻². Determine whether ƒ(x) approaches the slant asymptote from above or below, and make a sketch of the graph.

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

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Let fx 3x x Then lim fx 3x lim 3x x 3x lim x 0 X00 X00 X00 which implies that ... View full answer

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