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Dr. Byrne Fall 2010 Math 112 Domain and Range domain = set of values of x that are possible to plug into the equation range = set of values of y that result when you plug in x Determining the Domain The domain is all the real numbers (domain = (-∞,∞)) or is restricted – either by context or by the impossibility of plugging in some values. There are exactly two reasons why it would be impossible to plug in a value of x: you can’t take the square root of a negative number you can’t divide by 0 Worksheet 1.2: Determining the Domain of a Function from Its Equation Find the domain of the function, and describe the domain using interval notation. 8 1. f x 7 x 4 3. f x x 4 2. f x x 4. f x 2 1 2x 5. f x 6 x 6. f x x4 Worksheet 1.2: Determining the Domain and Range from a Graph Describe the domain and range of each graph using interval notation. (a) domain: (a) domain: (a) domain: (a) domain: (b) range: (b) range: (a) range: (b) range: Dr. Byrne Fall 2010 Math 112 Worksheet 1.2: Determining if a Correspondence is a Function Determine whether the correspondence is a function (using the definition of a function). function? function? function? function? function? {(3,1),(4,2),(5,1)} function? function? function? {(2,10),(3,15),(4,20),(3,25)} Worksheet 1.2: Determining if a Graph is a Function Determine which of the curves are graphs of functions. function? function? function? function? function? function? function? function?