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5x+B Consider the function f(x) = 7a+b, with 5b > 7B. Answer the following in terms of B and b: () What are the critical numbers of f? Critical numbers: x =| (i) Where is f increasing? f is increasing on help (intervals) (li) Where is f decreasing? f is decreasing on help (intervals) (iv) At which x doesf achieve its local maxima? f achieves local maxima at x =| (v) At which x does f achieve its local minima? f achieves local minima at x = (vi) Where is f concave up? f is concave up on help (intervals) (vii) Where is f concave down? f is concave down on help (intervals) (vii) At which x does f have points of inflection? f has points of inflection at x : (ix) For which numbers c is the line y = ca horizontal asymptote for f? f has horizontal asymptotes for c = (x) For which numbers c is the line = ca vertical asymptote for f? f has vertical asymptotes for c =

5x+B Consider the function f(x) = 7a+b, with 5b > 7B. Answer the following in terms of B and b: () What are the critical numbers of f? Critical numbers: x =| (i) Where is f increasing? f is increasing on help (intervals) (li) Where is f decreasing? f is decreasing on help (intervals) (iv) At which x doesf achieve its local maxima? f achieves local maxima at x =| (v) At which x does f achieve its local minima? f achieves local minima at x = (vi) Where is f concave up? f is concave up on help (intervals) (vii) Where is f concave down? f is concave down on help (intervals) (vii) At which x does f have points of inflection? f has points of inflection at x : (ix) For which numbers c is the line y = ca horizontal asymptote for f? f has horizontal asymptotes for c = (x) For which numbers c is the line = ca vertical asymptote for f? f has vertical asymptotes for c =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f(x) : 5x+B 7x+b' with 5b > 7B. Answer the following in terms of B and b: (1) What are the critical numbers of f? Critical numbers: x =| (ii) Where is f increasing? f is increasing on help (intervals) (ii) Where is f decreasing? f is decreasing on help (intervals) (iv) At which x does f achieve its local maxima? f achieves local maxima at x = (V) At which x does f achieve its local minima? f achieves local minima at x = | (vi) Where is f concave up? f is concave up on help (intervals) (vii) Where is f concave down? f is concave down on help (intervals) (vii) At which x does f have points of inflection? f has points of inflection at x = (ix) For which numbers c is the line y = ca horizontal asymptote for f? f has horizontal asymptotes for c = (x) For which numbers c is the line x = c a vertical asymptote for f? f has vertical asymptotes for c =
Transcribed Image Text:Consider the function f(x) : 5x+B 7x+b' with 5b > 7B. Answer the following in terms of B and b: (1) What are the critical numbers of f? Critical numbers: x =| (ii) Where is f increasing? f is increasing on help (intervals) (ii) Where is f decreasing? f is decreasing on help (intervals) (iv) At which x does f achieve its local maxima? f achieves local maxima at x = (V) At which x does f achieve its local minima? f achieves local minima at x = | (vi) Where is f concave up? f is concave up on help (intervals) (vii) Where is f concave down? f is concave down on help (intervals) (vii) At which x does f have points of inflection? f has points of inflection at x = (ix) For which numbers c is the line y = ca horizontal asymptote for f? f has horizontal asymptotes for c = (x) For which numbers c is the line x = c a vertical asymptote for f? f has vertical asymptotes for c =
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