Southern New Hampshire University

• MAT 20679

• MAT-10279: Function Characteristics Worksheet The owner of Business Finder GPS appreciated your help with the concept of functions. However, he still has questions. His programmers would like to test how the software might work using basic functions, such as linear and absolute value functions. He knows that the programmers will still be using both function notation and graphs, but they also mentioned that they would be talking to him about domain, range, and symmetry of functions. The owner would like to learn more about these concepts and the critical characteristics of functions. What is the domain, range, and symmetry of functions? 1. What is the domain of a function? The domain of function is the complete set of possible values of an independent variable and its can be also the set of values. 2. What is the range of a function? The possible quantities or numbers for a function's output or outcomes are known as the range of function.[ CITATION Funnd1 \l 2057 ] 3. Define and list potential symmetries for functions. Asymmetries are two halves that are exact copies of one another or have equivalent or matching sections that confront one another on an axis. If the function mirrors on the x- and y-axes, correspondingly, and then continues within the same chart, the function is symmetrical. Example, even functions, has a reflection symmetry around at the y-axis, while for uneven functions, there is circular symmetric about the source.[ CITATION Symnd \l 2057 ] 4. Write each of the six equations in function notation. a. y=x+3 b. y=7 c. y=2 x+4 d. y=|x+2| e. y=3|x|+1 f. y=|x−5| Write your response in this box. a) F:x →x+3 b) F:x →7