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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Find the interval notation of the domain
![9:10 33
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Exercises 1. Functions
I.
Find the required function values. Also write the domain of the function in interval notation
form.
1. Given: f(x) = find: f(-2), f(0), f(1), and f(3).
z² – 3x – 4
2. Given: g(x) = 4- Vx + 9, find: g(-8), g(-5), g(0), and g(7).
3. Given: f(x) = 2x2 – 3x + 1, find: f(a), f(a +h), f(a + h) – f(a), and latA)-/(@)
II. Find the composite functions of the following:
1. f(x) = 2x? - x – 2, and g(x) = x + 2
2. f(x) = and g(x) = Vx
3. f(x) = and g(x) = x2 +2
4. f(x) = x? – 4x, and g(x) = Vx + 4+2
III. Find the inverse of the following functions. Verify your answer.
1. f(x) = 3x – 4
2. f(x) = x? - 4x + 2
3. f(x) = 2*+ 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10c75e7d-7d2f-4360-8ab3-f9ae64c65951%2F55e835df-cc9c-4860-a914-cd4cb5a3e44b%2F2ruwcib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9:10 33
O a .l 60
+ [Template] exe... /
Name:
Score:
Schedule:
Email Address:
Exercises 1. Functions
I.
Find the required function values. Also write the domain of the function in interval notation
form.
1. Given: f(x) = find: f(-2), f(0), f(1), and f(3).
z² – 3x – 4
2. Given: g(x) = 4- Vx + 9, find: g(-8), g(-5), g(0), and g(7).
3. Given: f(x) = 2x2 – 3x + 1, find: f(a), f(a +h), f(a + h) – f(a), and latA)-/(@)
II. Find the composite functions of the following:
1. f(x) = 2x? - x – 2, and g(x) = x + 2
2. f(x) = and g(x) = Vx
3. f(x) = and g(x) = x2 +2
4. f(x) = x? – 4x, and g(x) = Vx + 4+2
III. Find the inverse of the following functions. Verify your answer.
1. f(x) = 3x – 4
2. f(x) = x? - 4x + 2
3. f(x) = 2*+ 3
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