Which of the following statements is FALSE about f(x) = 2" ? O The domain of f is (-∞, 00). O f (-1)= -2 O The function f is one-to-one. O O The inverse of f is f-1(x) = log2 x. The range of f is (0, ∞). O None of the above

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Which of the following statements is FALSE about \( f(x) = 2^x \)?

- ○ The domain of \( f \) is \((-\infty, \infty)\).
- ○ \( f(-1) = -2 \)
- ○ The function \( f \) is one-to-one.
- ○ The range of \( f \) is \((0, \infty)\).
- ○ The inverse of \( f \) is \( f^{-1}(x) = \log_2 x \).
- ○ None of the above
Transcribed Image Text:Which of the following statements is FALSE about \( f(x) = 2^x \)? - ○ The domain of \( f \) is \((-\infty, \infty)\). - ○ \( f(-1) = -2 \) - ○ The function \( f \) is one-to-one. - ○ The range of \( f \) is \((0, \infty)\). - ○ The inverse of \( f \) is \( f^{-1}(x) = \log_2 x \). - ○ None of the above
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