Let b be a positive constant (b > 0). Determine where the following functions are continuous: i. Exponential functions, e(x) = bª, are continuous on: ii. Logarithmic functions, (x) = log, (x). Preview l(1) : Preview 1(x) is continuous on: iii. Polynomial functions, f(x) = a„x" + Preview + a1x + a, are continuous on: p(x) iv. Rational functions, r(x) = q(x) where p and q are polynomials, can have vertical asymptotes and holes. When is r(x) undefined? When function Preview The function r(x) is continuous on all intervals that do not contain these points where r(x) is undefined.

Let b be a positive constant (b > 0). Determine where the following functions are continuous: i. Exponential functions, e(x) = bª, are continuous on: ii. Logarithmic functions, (x) = log, (x). Preview l(1) : Preview 1(x) is continuous on: iii. Polynomial functions, f(x) = a„x" + Preview + a1x + a, are continuous on: p(x) iv. Rational functions, r(x) = q(x) where p and q are polynomials, can have vertical asymptotes and holes. When is r(x) undefined? When function Preview The function r(x) is continuous on all intervals that do not contain these points where r(x) is undefined.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 51E

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