A1 11 functions
- 1. Algebra 1 Functions: Evaluation, Domain and Range, Sequences Function Notation: ___ is the input ___ is the name This does NOT of the function mean f _______ x f(x) Evaluate the function at and . Evaluate the function at and . Domain: If a function is ____________________________ for any input, we say that number is not in the ___________________________ of the function. What are the domains and ranges of the functions? Domain: Range: Scatter plot Domain: Range: Domain: Range:
- 2. Sequences Domain = Set of _______________________________ numbers ( ) 5, 10, 15, 20, ________ This is called an ___________________________________ sequence. “Arithmetic” sequences add the ________________ number every time to the previous number. How could we write that as an equation? Can you write an arithmetic sequence that starts with -2 and adds 3 each time? 2, 4, 8, 16, ________ This is called a ____________________________________ sequence. “Geometric” sequences _____________________________ the same number to the one before. How could we write that as an equation? Can you write a geometric sequence that starts with ¼ and multiplies by 2 each time?
- 3. Algebra 1 Name: ________________________________ Functions 3 Homework 1. Evaluate the function for and . 2. Evaluate the function for and . 3. What are the next four terms of the arithmetic sequence 21, 18, 15, 12, …? 4. What are the next four terms of the arithmetic sequence if ? 5. What are the next four terms of the geometric sequence 3, 6, 12, 24, …? 6. What are the next two terms of the geometric sequence 8, 4, 2, 1, ½, …? 7. a) Write an equation for a geometric sequence that starts with 16 and multiplies by -¼ each time. b) What are the next four terms of the sequence?