(a) Write an equation that defines the exponential function with base b > 0. f(x) = bx f(x) = xb f(x) = logb(x) f(x) = eb/x f(x) = bex (b) What is the domain of this function? (Enter your answer using interval notation. (c) If b ≠ 1, what is the range of this function? (Enter your answer using interval notation.)
(a) Write an equation that defines the exponential function with base b > 0. f(x) = bx f(x) = xb f(x) = logb(x) f(x) = eb/x f(x) = bex (b) What is the domain of this function? (Enter your answer using interval notation. (c) If b ≠ 1, what is the range of this function? (Enter your answer using interval notation.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 52RE
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(a) Write an equation that defines the exponential function with base b > 0.
f(x) = bx
f(x) = xb
f(x) = logb(x)
f(x) = eb/x
f(x) = bex
(b) What is the domain of this function? (Enter your answer using interval notation.
(c) If b ≠ 1, what is the range of this function? (Enter your answer using interval notation.)
(d) Sketch the general shape of the graph of the exponential function for each of the following cases.
(i) b > 1
(ii) b = 1
(iii) 0 < b < 1
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