19 Функция, ее свойства и график Приложение 1 (1)
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19 Функция, ее свойства и график Приложение 1 (1)

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математика
14.05.2020
19 Функция, ее свойства и график Приложение 1 (1)
19 Функция, ее свойства и график Приложение 1 (1).pdf

Concept 22:  Evaluating Functions

 

 

Level 4 Example

Level 3 Example

Level 2 Example

Evaluate the following function

 

f (2n3)5x8

 

Evaluate the following function

 

f (7)8x2 5x3

Evaluate the following function

 

f (4)8x3

          

 

 

Notes Level 2:

Goals:  

             Evaluate a function 

         

Level 2 Practice:                                                                                                                                                        

 

 

Practice #2                                                                                                                                                                                                                       

Look at the graph below 

In the graph above f(4) = 1. 

 

Find the following values  of the function.

 

                                                                                                                                   f(6) =                      f(2) =

 

 

 

                                                                                                                                   f(0) =                      f(5) = 

 

 

    For which values of x is this statement true?

                                                                         f(x) = 1


Worksheet Level 2: 

Goals:  

                Evaluate a function

Practice #1                                                                                                                                                                                                                       


 

 

Practice #2                                                                                                                                  

The graph of the function y=f(x) below shows the temperature y  outside at different times x over a 24-hour period.  

i.   Find the following:

Independent Variable =

 

Dependent Variable = 

 

 

ii.  Describe the following:

 

Domain:

 

Range:

 

 iii. Which of the following would find the temperature at 10 hours?

          f(x) = 10        f(10)             f(h)               f(30)

 iv. Which of the following would find the time when the temperature is 10 degrees?

          f(x) = 10        f(10)             f(h)               f(30)

 

Practice #3                                                                                                                                                                                                                       

Describe the domain and range of this function. 

 

Domain:

 

Range:

 

Find the following values:

 

f(18) =                    f(5) =                      f(17) = 

 

 

Practice #4                                                                                                                                  

Fill out the table below using the function above.  

 

Notation

Value

f (3)

 

 

f (18)f (3)

 

 

f (5)f (4)

 

 

f (15)f (6)

 

 

f (20)f (10)

 

 

 

Now use the following code to translate your answers from the table into the NAME of the mathematician who introduced the world to functions.

A = 1      B = 2      C = 3      D = 4      …

W=23 X=24         Y=25      Z=26

 

Mathematician:

 

Practice #5          f x( ) 3 x 2    g x( ) x2 1

 

    i. Find the following values of each function.  

                                               

           f (3)                                        g(5)                    

 

    ii. Find the values of x that make each statement true.  

g( 3) 

                      f x( ) 17                       f x( )19            

g x( ) 99

(1st step)        3 2 17x 

(solve for x)                                       

Notes Level 3:

Goals:  

             Evaluate a function that contains exponents

Level 3 Practice:                                                                                                                                                        

 

Worksheet Level 3: 

Goals:  

                Evaluate a function that contains exponents and absolute value.

 


Practice #1                                                                                                                                  

 

                 

Practice #2                                                                                                                                                                                                                       

 

Absolute Value means the                                      from zero.  

 

A         

What do you think the graph of this equation looks like?

 

Make your best sketch of the graph of y= x looks like.  

(this is just your best guess)

 

 

B.

Fill out each table and then sketch the graph.  

          

 

-10

-8

-6

-4

-2

0

2

4

6

8

10

f x( )x

 

 

 

 

 

 

 

 

 

 

 

f x( ) x 2

 

 

 

 

 

 

 

 

 

 

 

f x( ) x     2

 

 

 

 

 

 

 

 

 

 

 

 

 

B       Find all the solutions to the equations below.

         Explain your answer.  

 

           x 12                    x  2 12               x 2 12                         x 2 12


Notes Level 4:

Goals:  

            Evaluate functions with variables in the input

         

Basic Practice:                                                                                                                                                           

 

 

 

 

 

                 

Worksheet Level 4: 

Goals:

             Evaluate a composite function

 


Practice #1                                                                                                                                                                

 

          

Practice #2                                                                                                                                  

 

 

Concept 22: Evaluating Functions

Concept 22: Evaluating Functions

19 Функция, ее свойства и график Приложение 1 (1)

19 Функция, ее свойства и график Приложение 1 (1)

Notes Level 2: Goals:

Notes Level 2: Goals:

Evaluate a function

Evaluate a function

Level 2 Practice:

Level 2 Practice:

In the graph above f(4) = 1.

In the graph above f(4) = 1.

Worksheet Level 2: Goals:

Worksheet Level 2: Goals:

Which of the following would find the time when the temperature is 10 degrees? f(x) = 10 f(10) f(h) f(30)

Which of the following would find the time when the temperature is 10 degrees? f(x) = 10 f(10) f(h) f(30)

Find the values of x that make each statement true

Find the values of x that make each statement true

Evaluate a function that contains exponents

Evaluate a function that contains exponents

Worksheet Level 3: Goals:

Worksheet Level 3: Goals:

Practice #2

Practice #2

Fill out each table and then sketch the graph

Fill out each table and then sketch the graph

Notes Level 4: Goals:

Notes Level 4: Goals:

19 Функция, ее свойства и график Приложение 1 (1)

19 Функция, ее свойства и график Приложение 1 (1)

Basic Practice:

Basic Practice:

Practice #1

Practice #1

19 Функция, ее свойства и график Приложение 1 (1)

19 Функция, ее свойства и график Приложение 1 (1)
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14.05.2020