Directions: Write the correct answer on your notebook. Show the graph anddetermine if the given function is continuous on each of thegiven intervals.1. f(x) = 4x² – x + 6;(-0,0)2. f(x) =:[-5, 5]x-53. f(x) = Vx – 1;[1, +0)4. f(x) = -|-5x|[-1,+0)

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Answered: Directions: Write the correct answer on…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 4ECP

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I.B. Sketch the graph of a function ? satisfying ALL the given conditions. • The domain of ? is (−∞, ∞) • ?(−4) = −2 • ? intercepts are −2 , 0 , 2 , 4 and 6 • lim?→−4 ?(?) = 0 • lim ?→−2 − ?(?) = +∞ • lim ?→−2 + ?(?) = −∞ • lim?→0 − ?(?) = 0 • lim ?→0 + ?(?) = 3 • lim?→4 ?(?) = −5 • ? is continuous at all except −4 , −2 , 0 and 4
B. Sketch the graph of a function ? satisfying ALL the given conditions.• The domain of ? is (−∞, ∞)• ?(−4) = −2• ? intercepts are −2 , 0 , 2 , 4 and 6• lim?→−4?(?) = 0• lim ?→−2−?(?) = +∞• lim?→−2+?(?) = −∞• lim?→0−?(?) = 0• lim?→0+?(?) = 3• lim?→4?(?) = −5• ? is continuous at allexcept −4 , −2 , 0 and 4
Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = x4 − 5x3
You are given the step function below, where b is a real number: ?(?) = {?^2? − 6?, ? ≥ 2 {8, ?<2 (a) Find lim ?(?)?→2− ??? lim ?(?) ?→2+ (b) Then, determine values of b so that f(x) is continuous at every x.

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Directions: Write the correct answer on your notebook. Show the graph and determine if the given function is continuous on each of the given intervals. 1. f(x) = 4x² – x + 6; (-0,0) 2. f(x) =: [-5, 5] x-5 3. f(x) = Vx – 1; [1, +0) 4. f(x) = -|-5x| [-1,+0)