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
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
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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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