For each of the following functions, indicate at which point(s) the function is discontinuous and explain which of the conditions of definition 4.3 is not satisfied. In each case, graph the function. (The domain is R in each case.) (a) (b) (C) (d) —3x 12, x < 4 f(x)={_2x:10’ x 2 4 f(x) = l/Zx f(x) = 1/(x — b)2 for b constant f(x) = (x — 1)/(x2 + 2x — 3) [Hintr Factor the denominator.]
For each of the following functions, indicate at which point(s) the function is discontinuous and explain which of the conditions of definition 4.3 is not satisfied. In each case, graph the function. (The domain is R in each case.) (a) (b) (C) (d) —3x 12, x < 4 f(x)={_2x:10’ x 2 4 f(x) = l/Zx f(x) = 1/(x — b)2 for b constant f(x) = (x — 1)/(x2 + 2x — 3) [Hintr Factor the denominator.]
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
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For each of the following functions, indicate at which point(s) the function
is discontinuous and explain which of the conditions of definition 4.3 is not
satisfied. In each case, graph the function. (The domain is R in each case.)
(a)
(b)
(C)
(d)
—3x 12, x < 4
f(x)={_2x:10’ x 2 4
f(x) = l/Zx
f(x) = 1/(x — b)2 for b constant
f(x) = (x — 1)/(x2 + 2x — 3) [Hintr Factor the denominator.]
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