2х-4 Let y = х—1 (a) Determine all x - and y-intercepts. (b) Determine equations of all vertical asymptotes and non-vertical asymptotes. (c) Determine y' and y".

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 19PPS
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2х-4
Let y
х-1
(a) Determine all x - and y-intercepts.
(b) Determine equations of all vertical asymptotes and non-vertical asymptotes.
(c) Determine y' and y".
(d) Determine intervals on which the function is increasing; determine intervals
on which the function is decreasing.
(e) Determine the coordinates of all relative maximum and relative minimum
points.
(f) Determine intervals on which the function is concave up; determine intervals
on which the function is concave down.
(g) Determine the coordinates of all inflection points.
(h) With the aid of the information obtained in parts (a) - (g), give a reasonable
sketch of the curve.
Transcribed Image Text:2х-4 Let y х-1 (a) Determine all x - and y-intercepts. (b) Determine equations of all vertical asymptotes and non-vertical asymptotes. (c) Determine y' and y". (d) Determine intervals on which the function is increasing; determine intervals on which the function is decreasing. (e) Determine the coordinates of all relative maximum and relative minimum points. (f) Determine intervals on which the function is concave up; determine intervals on which the function is concave down. (g) Determine the coordinates of all inflection points. (h) With the aid of the information obtained in parts (a) - (g), give a reasonable sketch of the curve.
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