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Multiple choice sample problems Math 155 sections 2.1-3.5 section 2.1) 1. Find the domain of the function f(x)=4(x-1)-V2 (-0,00) а. b. (-00,1)U(1, ∞) с. d. (1,0). (-00,1) 4/x+1 2. Find the domain of the function f(x) = x² – 4 a. (-1,2)U(2,0) b. (-0, -2)U(-2, –1)U(-1,2)U(2, 0) (-1, 00) d. The correct answer is not listed here. х — 2х -3 3. Find the domain of the function g(x): x -x-6 а. (-2,3) b. (-0,3)U(3,∞) с. (-о, -2) u(-2, 00) d. (-00,-2)U(-2,3)U(3,0)

Multiple choice sample problems Math 155 sections 2.1-3.5 section 2.1) 1. Find the domain of the function f(x)=4(x-1)-V2 (-0,00) а. b. (-00,1)U(1, ∞) с. d. (1,0). (-00,1) 4/x+1 2. Find the domain of the function f(x) = x² – 4 a. (-1,2)U(2,0) b. (-0, -2)U(-2, –1)U(-1,2)U(2, 0) (-1, 00) d. The correct answer is not listed here. х — 2х -3 3. Find the domain of the function g(x): x -x-6 а. (-2,3) b. (-0,3)U(3,∞) с. (-о, -2) u(-2, 00) d. (-00,-2)U(-2,3)U(3,0)

Calculus: Early Transcendentals
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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**Multiple Choice Sample Problems for Math 155, Sections 2.1-3.5 (Section 2.1)** 1. **Find the domain of the function** \( f(x) = 4(x-1)^{-1/2} \) - a. \((-∞, ∞)\) - b. \((-∞, 1) \cup (1, ∞)\) - c. \((-∞, 1)\) - d. \((1, ∞)\) 2. **Find the domain of the function** \( f(x) = \frac{4\sqrt{x+1}}{x^2 - 4} \) - a. \((-1, 2) \cup (2, ∞)\) - b. \((-∞, -2) \cup (-2, -1) \cup (-1, 2) \cup (2, ∞)\) - c. \((-1, ∞)\) - d. The correct answer is not listed here. 3. **Find the domain of the function** \( g(x) = \frac{x^2 - 2x - 3}{x^2 - x - 6} \) - a. \((-2, 3)\) - b. \((-∞, 3) \cup (3, ∞)\) - c. \((-∞, -2) \cup (-2, ∞)\) - d. \((-∞, -2) \cup (-2, 3) \cup (3, ∞)\) ### Explanation The above problems involve finding the domain of given mathematical functions. The domain refers to the set of all possible input values (x-values) which make the function well-defined and produce valid output values (y-values). Each problem is followed by multiple choices offering potential domain ranges in interval notation. Proper understanding of functions involving square roots, rational expressions, and polynomial fractions is required to identify points where a function may become undefined, such as division by zero or taking the square root of negative numbers.
Transcribed Image Text:**Multiple Choice Sample Problems for Math 155, Sections 2.1-3.5 (Section 2.1)** 1. **Find the domain of the function** \( f(x) = 4(x-1)^{-1/2} \) - a. \((-∞, ∞)\) - b. \((-∞, 1) \cup (1, ∞)\) - c. \((-∞, 1)\) - d. \((1, ∞)\) 2. **Find the domain of the function** \( f(x) = \frac{4\sqrt{x+1}}{x^2 - 4} \) - a. \((-1, 2) \cup (2, ∞)\) - b. \((-∞, -2) \cup (-2, -1) \cup (-1, 2) \cup (2, ∞)\) - c. \((-1, ∞)\) - d. The correct answer is not listed here. 3. **Find the domain of the function** \( g(x) = \frac{x^2 - 2x - 3}{x^2 - x - 6} \) - a. \((-2, 3)\) - b. \((-∞, 3) \cup (3, ∞)\) - c. \((-∞, -2) \cup (-2, ∞)\) - d. \((-∞, -2) \cup (-2, 3) \cup (3, ∞)\) ### Explanation The above problems involve finding the domain of given mathematical functions. The domain refers to the set of all possible input values (x-values) which make the function well-defined and produce valid output values (y-values). Each problem is followed by multiple choices offering potential domain ranges in interval notation. Proper understanding of functions involving square roots, rational expressions, and polynomial fractions is required to identify points where a function may become undefined, such as division by zero or taking the square root of negative numbers.
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