MAT-1110 Midterm: MATH 1110 App State summer2017 Test1

18 views4 pages

turquoisegnu128

15 Feb 2019

School

Department

Course

Professor

For unlimited access to Study Guides, a Grade+ subscription is required.

Document Summary

Be sure to show your work: (14 points) limits. If a limit is positive in nity, write + and if negative in nity, write . If a limit does not exist, write dne . (a) consider the function f (x) whose graph is y. Where does f (x) fail to be continuous? f ( 1) = lim x 1 f (x) = lim x 1 f (x) = lim x 3 f (x) = lim x 4+ f (x) = x x = Where does f (x) fail to be di erentiable? x = (b) determine lim x 4 x2 6x + 8 x2 4x. What can we conclude about f (x)? (b) suppose g(x) is not di erentiable at x = 2 but it is di erentiable at x = 4. De nitely / possibly / de nitely not (c) let h(x) = x1/3. / intermediate value thm. (d) let h(x) = x1/3.

Related Questions

17-19

1. (18 pts) The graph of a function f, defined on (-0, +o), is given in the figure below. - - y = f(x) - - - - - - N - - 4 A -2-1 144 -1 - - - - - - - -- - - -- Use the graph of f to answer questions (a)-(f) below. (a) Determine the value or write "does not exist". i. f(-3) = -2 ii. f(0) = 1 (b) Determine the limit or write "does not exist" (DNE). Write "does not exist" only if a limit does not exist and is not too or -0. i. lim f(x) = 0 iv. lim f(x) = +00 X- 3 x2 ii. lim f(x) = -4 v. lim f(x) = -0 X- 0- x -00 iii. lim f(x) = DNE vi. lim f(x) = -2 x0 x++00 (C) MULTIPLE CHOICE! Circle ONLY one answer! Find a number a for which the following statement is true (the function f is shown above): STATEMENT: The function f is continuous at a, and lim f(x) = 0. i. a=-3 iii. a=0 V. a=3 ii. a = -2 iv. a = 2 vi. Such a number does not exist. (d) Determine the largest intervals of continuity of f. Use interval notation to write your answer. (-0, -3), (-3,0), (0, 2), (2, +00) (e) Write the equation(s) of all vertical asymptotes of f. Write "none" if appropriate. x= 2 (f) Write the equation(s) of all horizontal asymptotes of f. Write "none" if appropriate. y = -2

20. Determine the following limits. Show all your work. If a limit does not exist indicate why with your work and write DNE. (a) (5 points) lim 500e -0.032 (b) (5 points) lim g(x) given that g(x) = (- 24 { 0 , 1 = 4 (2-5, r> 4

MAT-1110 Midterm: MATH 1110 App State summer2017 Test1

Document Summary

Get access

Related Documents

MAT-1110 Midterm: MATH 1110 App State Fall2017 Test1

MAT-1110 Midterm: MATH 1110 App State Fall2017 Test1 answer key

MAT-1110 Midterm: MATH 1110 App State summer2017 Test1 answer key

Related Questions