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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:
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?
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?

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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?