MATH 1151 Study Guide - Midterm Guide: Asymptote, Electrical Contacts, University Of Manchester

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turquoisegnu128

28 Sep 2018

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Ohio State University

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Mathematics

Course

MATH 1151

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All

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$MATH 1151 Full Course Notes$

MATH 1151 Full Course Notes

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The graph of a function f is given in the figure below. Use the graph of f to answer the questions below. Hnote : possible answers include + , - , or "does not exist". l fhxl = 5. Form a, page 3 x -2 x - x + lim lim x -2+ x -2- fhxl = + fhxl = 0 fhxl = does not exist fhxl = 0 fhxl = + . Hvilh4 ptsl determine the intervals of continuity for f . H- , -2l , @-2, 3^ , and h3, + l. Find all slant asymptotes. x = - 2 y = 0 y = x + 2. Use a right triangle to simplify the given expression. T herefore, tani cos-1 xm = tan q = Find the inverse of the given function and write it in the form y =

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1. (20 pts) The graph of a function f is given in the figure below. Use the graph of f to answer the questions below. y = f(x) -64 - - - - - - - - - - - - (I) (1 pt) Pind the domain of f. Domain of f = (-0, 3) U (3, +co) (II) (1 pt) Find the range of f. Range of f = (-, +O) (a) (1 pt) lim f (x) = 0 (b) (1 pt) f(3) = DNE (does not exist) (c) (1 pt) f (5) = 2 (a) (1 pt) lim f (x) = 0 (0) (1 pt) lim f (x) = -- (f) (1 pt) lim f (x) = DNE 0 1 (g) (1 pt) lim f (x) = + (h) (1 pt) lim f (x) = -6 X-++00 (IV) (2 pts) Find all vertical asymptotes. (V) (2 pts) Find all horizontal asymptotes. (VI) (6 pts) Determine the intervals of continuity for f. (-0, 0], (0, 3), (3, 5), (5, +00)

1. (32 pts) The graph of a function f is given in the figure below. The domain of fis (-0, +). Use the graph of fto answer the questions below. y = f(x) y=f(x) (I) (2 pts) Find the range of f. Range of f = (II) Find the following values. (Note: Possible answers include + co, -, or "does not exist".) (a) (2 pts) lim f (x) = X+1 + (b) (2 pts) lim f (x) = (c) (2 pts) lim f (x) = x+1 (a) (2 pts) f(1) = (e) (2 pts) lim f (x) = (f) (2 pts) lim f (x) = (g) (2 pts) lim f (x) = (h) (2 pts) lim f (x) = (i) (2 pts) lim f (x) = (j) (2 pts) f (0) = (III) (2 pts) Find all vertical asymptotes. (IV) (2 pts) Find all horizontal asymptotes. (V) (2 pts) Find all slant asymptotes. (VI) (4 pts) Determine the intervals of continuity for f.

1. (25 pts) The graph of a function fis given in the figure below. The domain of fis (-, +.). Use the graph of fto answer the questions below. y = f(x) y=f(x) -3 -1 1 2 3 4 (I) (1 pt) Find the range of f. Range of f = (II) Find the following values. (Note: Possible answers include + , -, or "does not exist".) (a) (1 pt) lim f (x) = x+3+ (b) (1 pt) lim f (x) = (C) (1 pt) lim f (x) = x+3 (a) (1 pt) f(3) = (e) (2 pts) lim f (x) = (f) (2 pts) lim f(x) = (g) (2 pts) lim f (x) = (h) (2 pts) lim f (x) = (i) (2 pts) lim f (x) = (III) (2 pts) Find all vertical asymptotes. (IV) (2 pts) Find all horizontal asymptotes. (V) (2 pts) Find all slant asymptotes. (VI) (4 pts) Determine the intervals of continuity for f.

MATH 1151 Study Guide - Midterm Guide: Asymptote, Electrical Contacts, University Of Manchester

MATH 1151 Full Course Notes

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