# Formalizing Relations and Functions ```Name ___________________________________
Unit III – Part I: Relations and Functions
Learning Target #3: Formalizing Relations and Functions
Relation-___________________________________________________________
Function-___________________________________________________________
Function Notation-____________________________________________________
__________________________________________________________________
Examples: f(x)=7 A function called f with and independent variable x.
f(x) = y = output = dependent variable = range
Fill in the tables with the examples from the teacher or video.
x
Examples of Relations
y *
x
y
* x
*
*
*
*
y
*
*
*
*
***
***
***
***
***
x
Examples of Function
y *
x
y
*
*
*
*
*
x
y
*
*
*
*
Use this space to make notes about the relations and functions above. Write down what
is discussed by the teacher or on the video.
Domain-____________________________________________________
Range-_____________________________________________________
Find the domain and range of each:
x
y
1
3
2
5
3
7
4
9
x
y
-2
4
-1
6
0
8
1
10
Is {(6,5), (4,3), (6,4), (5,8)} a function? Explain.
Vertical Line Test: Draw the examples from your teacher or from the video.
Find the range, for the domain: {1,2,3,4}
𝑓(𝑥) = −1.5𝑥 + 4
𝑥
1
2
3
4
∗∗ 𝑓(𝑥)𝑖𝑠 𝑎 𝑓𝑎𝑛𝑐𝑦 𝑤𝑎𝑦 𝑜𝑓 𝑤𝑟𝑖𝑡𝑖𝑛𝑔 𝑡ℎ𝑒 𝑦 − 𝑣𝑎𝑙𝑢𝑒
𝑓(𝑥)
𝑓(𝑥) = −3𝑥 + 4
𝑥
1
2
3
4
Then, graph each function.
𝑓(𝑥)
Do your summary on the next page.
∗∗ 𝑓(𝑥)𝑖𝑠 𝑎 𝑓𝑎𝑛𝑐𝑦 𝑤𝑎𝑦 𝑜𝑓 𝑤𝑟𝑖𝑡𝑖𝑛𝑔 𝑡ℎ𝑒 𝑦 − 𝑣𝑎𝑙𝑢𝑒
Summary: In your textbook do page 271 #1-5 and #7
1.
D: {
R: {
2.
}
}
Yes or No
Draw a sketch of how you used the vertical
line test to determine this answer.
Function: yes
3.
or no
4.
𝑅: __________________________
𝑥
-4
-2
0
2
4
5.
7.
𝑓(𝑥)
```