1. Consider the function f(x) = r+1+ Note that r -4 1² – 4 r*(r² – 12) f'(x) 82(r² + 12) (1* – 4)ª and f"(x) = (2² – 4)² and the z-intercept of the graph of f is approximately z a 1.3146. (a) Evaluate all the necessary limits to identify all the linear asymptotes of the graph of f. (b) Construct a table of signs for f' and f" that specifies the following: i. the intervals on which the graph of f is increasing, decreasing, concave up, and concave down, and ii. the values of z at which f has relative extrema, inflection points, and vertical asymptotes (if any). (c) Sketch the graph of ƒ with emphasis on concavity. Label all the intercept points, relative extremum points, inflection points, and holes (if any) with their coordinates. Show the asymptotes of the graph of f and label them with their respective equa-

1. Consider the function f(x) = r+1+ Note that r -4 1² – 4 r(r² – 12) f'(x) 82(r² + 12) (1 – 4)ª and f"(x) = (2² – 4)² and the z-intercept of the graph of f is approximately z a 1.3146. (a) Evaluate all the necessary limits to identify all the linear asymptotes of the graph of f. (b) Construct a table of signs for f' and f" that specifies the following: i. the intervals on which the graph of f is increasing, decreasing, concave up, and concave down, and ii. the values of z at which f has relative extrema, inflection points, and vertical asymptotes (if any). (c) Sketch the graph of ƒ with emphasis on concavity. Label all the intercept points, relative extremum points, inflection points, and holes (if any) with their coordinates. Show the asymptotes of the graph of f and label them with their respective equa-

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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