7. Sketch a possible graph of a function that satisfies all the given conditions. Be sure to identify all vertical and horizontal asymptotes. f(2) = 1, f(0) = 0, lim f(x) = 0, f(4) =-1, lim f(x)=-00, х>3* х->3 lim f(x)=-o, lim f(x)= 0, x→5 х>5+ lim f(x)=-1, lim f(x)=0, x→-00 х->00 8. Determine the intervals on which the following functions are continuous. x — 4х+3 a. f(x)= x - 4 b. f(x)= Inx c. f(x)= Vx² –16 x* — Зх +5 1. f(x)= then find 2x? –8 d. lim f(x)= c. lim f(x)= a. lim f(x) = b. lim f(x)= x→-2+ х>2+ х—>-00 х—>0 x* -81 2. f(x) = then find х-3 b. lim f(x)= a. lim f(x)= d. lim f(x)= c. lim f(x)= х-90 х->3 х->-00 х 3. f(x)=- x². then find %3| 2-9 a. lim f(x)= b. lim f(x)= c. lim f(x)= d. lim f(x)= x→3+ х->-3 х—>-00 X—У0о 4. f(x) = e* – 3 , then find d. lim f(x)= b. lim f(x)= a. lim f(x)= c. lim f(x)= х- х->0 х—00 х>-00 Find all vertical, and /or horizontal asymptotes of the following functions. 2x² +6 5. f(x)= 2x? + 3х — 2 х +2х? - х —1 6. f(x)= x² -1

7. Sketch a possible graph of a function that satisfies all the given conditions. Be sure to identify all vertical and horizontal asymptotes. f(2) = 1, f(0) = 0, lim f(x) = 0, f(4) =-1, lim f(x)=-00, х>3* х->3 lim f(x)=-o, lim f(x)= 0, x→5 х>5+ lim f(x)=-1, lim f(x)=0, x→-00 х->00 8. Determine the intervals on which the following functions are continuous. x — 4х+3 a. f(x)= x - 4 b. f(x)= Inx c. f(x)= Vx² –16 x* — Зх +5 1. f(x)= then find 2x? –8 d. lim f(x)= c. lim f(x)= a. lim f(x) = b. lim f(x)= x→-2+ х>2+ х—>-00 х—>0 x* -81 2. f(x) = then find х-3 b. lim f(x)= a. lim f(x)= d. lim f(x)= c. lim f(x)= х-90 х->3 х->-00 х 3. f(x)=- x². then find %3| 2-9 a. lim f(x)= b. lim f(x)= c. lim f(x)= d. lim f(x)= x→3+ х->-3 х—>-00 X—У0о 4. f(x) = e* – 3 , then find d. lim f(x)= b. lim f(x)= a. lim f(x)= c. lim f(x)= х- х->0 х—00 х>-00 Find all vertical, and /or horizontal asymptotes of the following functions. 2x² +6 5. f(x)= 2x? + 3х — 2 х +2х? - х —1 6. f(x)= x² -1

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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