10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10). 9. Sketch the graph of a function with all following properties: a) The function is odd. b) The function has a horizontal asymptote y = 2 as x → ∞. c) The function has a vertical asymptote x=4. d) The function has an x-intercept at x=3 and a local maximum at (3/2,5). e) The function is concave downward over (0,4) and concave upward over (4,∞).

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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10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).
Transcribed Image Text:10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).
9. Sketch the graph of a function with all following properties:
a) The function is odd.
b) The function has a horizontal asymptote y = 2 as x → ∞.
c) The function has a vertical asymptote x=4.
d) The function has an x-intercept at x=3 and a local maximum at (3/2,5).
e) The function is concave downward over (0,4) and concave upward over (4,∞).
Transcribed Image Text:9. Sketch the graph of a function with all following properties: a) The function is odd. b) The function has a horizontal asymptote y = 2 as x → ∞. c) The function has a vertical asymptote x=4. d) The function has an x-intercept at x=3 and a local maximum at (3/2,5). e) The function is concave downward over (0,4) and concave upward over (4,∞).
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