Finding Deltas Algebraically Each of Exercises gives a function f(x) and numbers L, c, and e > 0. In each case, find an open interval about c on which the inequal- ity f(x) - L < e holds. Then give a value for 8 > 0 such that for all x satisfying 0 < |x – c| < 8 the inequality |f(x) – L| < ɛ holds. L = 5, L = -6, L = 1, L = 1/2, L = 3. f(x) = x + 1, c = 4, 8 = 0.01 f(x) = 2x – 2, c = -2, 8 = 0.02 f(x) = Vx + 1, c = 0, E = 0.1 f(x) = Vĩ. f(x) = V19 – x, f(x) = Vx – 7. c = 1/4, 8 = 0.1 c = 10, c = 23, 8 = 1 L = 4, f(x) = 1/x, L = 1/4, c = 4, 8 = 0,05
Finding Deltas Algebraically Each of Exercises gives a function f(x) and numbers L, c, and e > 0. In each case, find an open interval about c on which the inequal- ity f(x) - L < e holds. Then give a value for 8 > 0 such that for all x satisfying 0 < |x – c| < 8 the inequality |f(x) – L| < ɛ holds. L = 5, L = -6, L = 1, L = 1/2, L = 3. f(x) = x + 1, c = 4, 8 = 0.01 f(x) = 2x – 2, c = -2, 8 = 0.02 f(x) = Vx + 1, c = 0, E = 0.1 f(x) = Vĩ. f(x) = V19 – x, f(x) = Vx – 7. c = 1/4, 8 = 0.1 c = 10, c = 23, 8 = 1 L = 4, f(x) = 1/x, L = 1/4, c = 4, 8 = 0,05
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.3: Getting Information From The Graph Of A Function
Problem 4E: The function f graphed below is defines by a polynomial expression of degree 4. Use the graph to...
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Each of Exercises gives a function ƒ(x) and numbers L, c, and e 7 0. In each case, find an open interval about c on which the inequality 0 ƒ(x) - L 0 6 e holds. Then give a value for d 7 0 such that for all x satisfying 0 6 0 x - c 0 6 d the inequality 0 ƒ(x) - L 0 6 e holds.
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