Textbook Question
Graph each function. See Examples 1 and 2. h(x) = |-½ x|
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161
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Table of contents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Chapter 1, Problem 27
Find each sum or difference. See Example 1. -12.31 - (-2.13)
Verified step by step guidance1
Recognize that subtracting a negative number is equivalent to adding its positive counterpart. So, rewrite the expression \(-12.31 - (-2.13)\) as \(-12.31 + 2.13\).
Identify the operation now as addition of two numbers with different signs: a negative number \(-12.31\) and a positive number \(2.13\).
To add numbers with different signs, subtract the smaller absolute value from the larger absolute value: calculate \(12.31 - 2.13\).
Determine the sign of the result by looking at which number has the larger absolute value. Since \(12.31\) is larger than \(2.13\), the result will have the sign of \(-12.31\), which is negative.
Combine the sign and the difference to write the final expression as \(-(12.31 - 2.13)\), which simplifies to the final sum or difference.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Understanding Addition and Subtraction of Real Numbers
This concept involves knowing how to add and subtract positive and negative numbers. Subtracting a negative number is equivalent to adding its positive counterpart, which changes the operation and affects the result.
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Adding and Subtracting Complex Numbers
Handling Negative Signs in Expressions
Recognizing how to correctly interpret and simplify expressions with multiple negative signs is crucial. For example, subtracting a negative number turns into addition, which simplifies the calculation.
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6:36Simplifying Trig Expressions
Basic Arithmetic Operations
Performing basic arithmetic operations such as addition and subtraction accurately is essential. This includes aligning decimal points and carefully calculating the result to avoid errors.
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04:12Algebraic Operations on Vectors
Related Practice
Textbook Question
Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4.
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Textbook Question
Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4.
Textbook Question
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (4.5, 7)
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Textbook Question
Solve each linear equation. See Examples 1–3.
(3x - 1)/4 + (x + 3)/6 = 3
Textbook Question
Concept Check Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5,}, C = {1, 6}, and D = {4}. Find each set. a. A ∩ D b. B ∩ C c. B ∩ A d. C ∩ A