2 Linear Function a function of first degree polynomial that are of the form 1

2 linear function a function of first degree

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2. Linear Function – a function of first-degree polynomial that are of the form 𝑓𝑓 𝑥𝑥 = 𝑐𝑐 1 𝑥𝑥 + 𝑐𝑐 0 , 𝑐𝑐 1 0. 3. Quadratic Function – a function of the form 𝑓𝑓 𝑥𝑥 = 𝑎𝑎𝑥𝑥 2 + 𝑏𝑏𝑥𝑥 + 𝑐𝑐 , 𝑎𝑎 ≠ 0. 4. Rational Function – the quotient of two polynomial functions that are of the form 𝑓𝑓 𝑥𝑥 = 𝑔𝑔 ( 𝑥𝑥 ) ( 𝑥𝑥 ) , ( 𝑥𝑥 ) 0. 5. Absolute Value Function – a function of the form 𝑓𝑓 𝑥𝑥 = 𝑥𝑥 .
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OTHER TYPES OF FUNCTIONS 1. Power Function – a function of the form 𝑓𝑓 𝑥𝑥 = 𝑥𝑥 𝑛𝑛 where n is any real number. 2. Polynomial Function – any function of the form 𝑓𝑓 𝑥𝑥 = 𝑐𝑐 𝑛𝑛 𝑥𝑥 𝑛𝑛 + 𝑐𝑐 𝑛𝑛−1 𝑥𝑥 𝑛𝑛−1 + + 𝑐𝑐 1 𝑥𝑥 + 𝑐𝑐 0 . 3. Greatest Integer Function – a function of the form 𝑓𝑓 𝑥𝑥 = 𝑥𝑥 . The value 𝑥𝑥 is the greatest integer that is less than or equal to x. (e.g. 4.4 = 4 ) 4. Radical Function – a function of the form 𝑓𝑓 𝑥𝑥 = 𝑛𝑛 𝑥𝑥 , where x is an integer.
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TYPES OF FUNCTIONS Examples: Determine the type of function of the following. a. 𝑓𝑓 𝑥𝑥 = 𝑥𝑥−3 𝑥𝑥+7 Rational b. 𝑓𝑓 𝑥𝑥 = 3 𝑥𝑥 4 + 8 𝑥𝑥 3 4 𝑥𝑥 2 + 2 Polynomial c. 𝑓𝑓 𝑥𝑥 = 𝑥𝑥 4 Power d. 𝑓𝑓 𝑥𝑥 = 18 Constant e. 𝑓𝑓 𝑥𝑥 = 11 − 2𝑥𝑥 Linear f. 𝑓𝑓 𝑥𝑥 = 2𝑥𝑥 − 1 Absolute g. 𝑓𝑓 𝑥𝑥 = 𝑥𝑥 Greatest Integer
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Linear Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Quadratic Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Cube Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Square Root Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Cube Root Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Absolute Value Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Rational Function
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DOMAIN AND RANGE OF GRAPHS OF FUNCTIONS Greatest Integer Function DOMAIN: −∞ , RANGE: 𝒙𝒙 𝒙𝒙 𝒊𝒊𝒊𝒊 𝒂𝒂𝒂𝒂 𝒊𝒊𝒂𝒂𝒊𝒊𝒊𝒊𝒊𝒊𝒊𝒊𝒊𝒊
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GENERAL MATHEMATICS EVALUATION OF FUNCTIONS
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Learning Competencies At the end of the lesson, you are expected to: 1. State the steps of evaluating function; 2. Define function notation; 3. Evaluate function; and 4. State and apply the rules of addition, subtraction, multiplication and division of function. EVALUATION OF FUNCTIONS
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EVALUATION OF FUNCTIONS Given: 𝑓𝑓 𝑥𝑥 = 3𝑥𝑥 + 1, where x is a set of first 3 even numbers. How do you use functional notation in evaluating function? The function notation 𝑦𝑦 = 𝑓𝑓 𝑥𝑥 tells you that y is a function of x. 𝑦𝑦 = 𝑓𝑓 𝑥𝑥 𝑦𝑦 = 3𝑥𝑥 + 1 𝑓𝑓 ( 𝑥𝑥 ) = 3𝑥𝑥 + 1 The name of the function is f.
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  • Winter '19
  • Michael Rubio
  • Algebraic Expressions

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