1. 1-7 Notes for Algebra 1
Functions

2. Function
A relationship between the input (domain, x) and output (range, y). In a function, there is exactly one output for each input.

3. Example 1 pg. 47 Identify Functions
Determine whether each relation is a function. Explain. 1.) −2, −8 , 0, 0 , 2, 8 , 4, 16 2.)
Domain
Range -7
-12 -4 -9 2 3 5

4. Example 1 pg. 47 Identify Functions
Determine whether each relation is a function. Explain. 1.) −2, −8 , 0, 0 , 2, 8 , 4, 16 Function; each element of the domain is paired with exactly one element of the range 2.) Function; each element of the domain is paired with exactly one member of the range
Domain
Range -7
-12 -4 -9 2 3 5

5. Example 2 pg. 49 Equations as Functions
SCHOOL CAFETERIA there are 3 lunch periods at a school. During the 1st period, 352 students eat. During the 2nd period, 304 students eat. During the 3rd period, 391 students eat. 1.) Make a table showing the number of students for each of the 3 lunch periods. 2.) Determine the domain and range of the function. 3.) Write the data as a set of ordered pairs. Then graph the data. 4.) State whether the function is discrete or continuous. Explain your reasoning.

6. Example 2 pg. 49 Equations as Functions
SCHOOL CAFETERIA there are 3 lunch periods at a school. During the 1st period, 352 students eat. During the 2nd period, 304 students eat. During the 3rd period, 391 students eat. 1.) Make a table showing the number of students for each of the 3 lunch periods.
Period 1 2 3
Number of Students
352
304
391

7. Example 2 pg. 49 Equations as Functions
SCHOOL CAFETERIA there are 3 lunch periods at a school. During the 1st period, 352 students eat. During the 2nd period, 304 students eat. During the 3rd period, 391 students eat. 2.) Determine the domain and range of the function. 𝐷= 1, 2, 3 𝑅= 352, 304, 391

8. Example 2 pg. 49 Equations as Functions
SCHOOL CAFETERIA there are 3 lunch periods at a school. During the 1st period, 352 students eat. During the 2nd period, 304 students eat. During the 3rd period, 391 students eat. 3.) Write the data as a set of ordered pairs. Then graph the data. 1, 352 , 2, 304 , 3, 391
400
375
350
325
300 1 2 3

9. Example 2 pg. 49 Equations as Functions
SCHOOL CAFETERIA there are 3 lunch periods at a school. During the 1st period, 352 students eat. During the 2nd period, 304 students eat. During the 3rd period, 391 students eat. 4.) State whether the function is discrete or continuous. Explain your reasoning. Because the points are not connected, the function is discrete.

10. Example 3 pg. 49 Representation of a Function
Determine whether x = -2 represents a function.

11. Example 3 pg. 49 Representation of a Function
Determine whether x = -2 represents a function. Not a function

12. Example 4 pg. 50 Function Values
For 𝑓 𝑥 =3𝑥−4, find each value. 1.) 𝑓 4 2.) 𝑓 −5

13. Example 4 pg. 50 Function Values
For 𝑓 𝑥 =3𝑥−4, find each value. 1.) 𝑓 ) 𝑓 −5 -19

14. Example 5 pg. 50 Nonlinear Function Values
If ℎ 𝑡 =1248−160𝑡+16 𝑡 2 find each value. 1.) ℎ 3 2.) ℎ 2𝑧

15. Example 5 pg. 50 Nonlinear Function Values
If ℎ 𝑡 =1248−160𝑡+16 𝑡 2 find each value. 1.) ℎ ) ℎ 2𝑧 z+64 𝑧 2

16. 1-7 pg o, 57-75(x3)