2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2. Let f(x): =

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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2. Let f(x)=x2x3
- 3.
a) Find the domain of the function:
○ [-3,00)
Ⓒ (-∞0, 3]
(-∞0, 3) U (3, 0)
(∞, -3) U (-3,00)
b) Find the range of the function:
(-∞0, 2) U (2,00)
○ [2,00)
Ⓒ (-∞, -2]
O (-∞, -2) U (-2, 0)
c) Is f a one-to-one function?
Yes, f is one-to-one.
No, f is not one-to-one.
d) Use your answer from part c to determine if the inverse of the function f is a function.
Yes, the inverse of the function f is a function.
No, the inverse of the function f is not a function.
Transcribed Image Text:2. Let f(x)=x2x3 - 3. a) Find the domain of the function: ○ [-3,00) Ⓒ (-∞0, 3] (-∞0, 3) U (3, 0) (∞, -3) U (-3,00) b) Find the range of the function: (-∞0, 2) U (2,00) ○ [2,00) Ⓒ (-∞, -2] O (-∞, -2) U (-2, 0) c) Is f a one-to-one function? Yes, f is one-to-one. No, f is not one-to-one. d) Use your answer from part c to determine if the inverse of the function f is a function. Yes, the inverse of the function f is a function. No, the inverse of the function f is not a function.
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