Chapter 3: Elementary Functions and Transformations In Grade 10, students learned basic functions such as linear, quadratic, absolute value, square root, and rational functions. Chapter 3 extends these ideas by introducing more elementary functions and studying how their graphs can be transformed. ( Education for Myanmar ) 3.1 Elementary Functions An elementary function is a basic function whose graph is used as a foundation for studying more complicated functions. 1. Constant Function Function: Characteristics Graph is a horizontal line. Domain: All real numbers. Range: {1} Graph Features Parallel to the x-axis. Every point has y-coordinate 1. 2. Identity Function Function: Characteristics Straight line through the origin. Gradient (slope) = 1. Domain and Range Domain: ℝ Range: ℝ Graph Features Makes an angle of 45° with the positive x-axis. 3. Square Root Function Function: Characteristics Defined only for x ≥ 0. Domain x ≥ 0 Range y ≥ 0 Graph Features Begins at the origin. In...

  Verb – Complete Explanation A verb is a word that expresses an action , an occurrence , or a state of being . Examples: run (action) write (action) happen (occurrence) be (state of being) Sentences: She writes a letter. The accident happened yesterday. He is happy. Without a verb, a complete sentence usually cannot exist. Main Types of Verbs 1. Action Verbs Action verbs show what someone or something does. Examples: run eat write swim play Sentences: The boy runs fast. They play football. 2. State (Stative) Verbs State verbs describe a condition, feeling, opinion, possession, or state of mind. Examples: know believe like own understand Sentences: I know the answer. She likes music. 3. Linking Verbs A linking verb connects the subject with more information about it. Common linking verbs: be (am, is, are, was, were) become seem appear look feel sound Examples: She is a teacher. The soup smells delicious....