A2 Domain and Range Notes
- 1. Algebra 2 Domain and Range The Domain of a relation is the set of all _____________________. The Range of a relation is the set of all ______________________. EX1: Table of Values input output Domain: { } 2 1 Range: { } 4 3 6 5 8 7 10 9 When finding the domain of a function, ask yourself what values can't be used. Your domain is everything else. 1. The domain of all polynomial functions is _______________________________. 2. Radical (square root) functions CANNOT have a __________________________ __________________________________. • To find the domain, solve what is under the radical symbol for what is ≥ 0. This eliminates negatives under the radical. 3. Rational (fraction) functions CANNOT have a ____________________________ _____________________________. • To find the domain, set the denominator equal to 0 and solve. The domain is everything else. Domain and Range are given in SET NOTATION: All Real Numbers: All Real Numbers between -2 and 4: • • • • • • All Real Numbers except 2 and -2: • • All Real Numbers beyond -2 and 4: • • All Real Numbers greater than or equal • to 2: • • • • To find the _______________ of a function, think about the graph. What values of the _________________ are included in the graph?
- 2. Examples: Give the domain and range of each function. 1. f(x) = x2 + 3 2. g(x) = 2x3 + x2 + 4x – 1 , 3. h(x) = √3x + 1 4. f(x) = 4x2 + 2x + 1 x2 – 4 5. g(x) = x+1 . x2 + 3x – 4 HW: Domain and Range Worksheet