Textbook Question
Graph each function. See Examples 1 and 2. ƒ(x) = -3|x|
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 25
Find each sum or difference. See Example 1. 8 - (-13)
Verified step by step guidance1
Recognize that the problem involves subtracting a negative number: \(8 - (-13)\).
Recall the rule that subtracting a negative number is equivalent to adding its positive counterpart, so rewrite the expression as \(8 + 13\).
Perform the addition operation by combining the two positive numbers.
Write the final expression clearly as \(8 + 13\) to show the sum.
Understand that this step simplifies the original problem by converting subtraction of a negative into addition, which is easier to compute.
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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 Integers
This concept involves knowing how to add and subtract positive and negative whole numbers. Subtracting a negative number is equivalent to adding its positive counterpart, which simplifies calculations and avoids common errors.
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Adding and Subtracting Complex Numbers
Interpreting the Minus Sign in Expressions
Recognizing that a minus sign before a parenthesis changes the sign of the number inside is crucial. For example, subtracting a negative number means you add the positive value, which is key to correctly simplifying expressions.
Recommended video:
6:36Simplifying Trig Expressions
Basic Arithmetic Operations
Fundamental skills in performing addition and subtraction operations accurately are essential. This includes combining numbers correctly and understanding the order of operations when simplifying expressions.
Recommended video:
04:12Algebraic Operations on Vectors
Related Practice
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Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4.
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Write each rational expression in lowest terms. See Example 2. (8k + 16) / (9k + 18)
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Textbook Question
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point. (0, 5)
Textbook Question
Solve each linear equation. See Examples 1–3.
5/6x - 2x + 4/3 = 5/3
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