1. Warm Up 1. Given 𝑓 𝑥 =5𝑥+2, find f(2a)
When finished, grab a functions sorting bag and sheet for you and your partner(s)!
1. 10a+2, 2. 26

2. Check Homework

5. 2.2 Notes: Linear Relations and Functions
Agenda
Warm Up/Functions Sorting
Check Homework
2.2 Notes
Exit Slip

6. Algebra 1 Recall
Relations that have straight line graphs are called _________________ _____________________.
Relations that are not linear are called ______________________ ____________________.
Without a graph, how can you tell?
A linear equation:
Has no operations other than __________________, ____________________, and ________________________.
The variables may not be ______________________ together or appear in a _______________________.
Any exponent must be ______.

7. Examples
Example 1: State whether g(x) = 2x – 5 is a linear function. Write yes or no. Explain.
Example 2: State whether p(x) = x3 + 2 is a linear function. Write yes or no. Explain.
Example 3: State whether t(x) = 4 + 7x is a linear function. Write yes or no. Explain.

8. Your turn!
1. State whether h(x) = 3x – 2 is a linear function. Explain.
A. yes; m = –2, b = 3
B. yes; m = 3, b = –2
C. No; x has an exponent other than 1.
D. No; there is no slope.
2. State whether f(x) = x2 – 4 is a linear function. Explain.
A. yes; m = 1, b = –4
B. yes; m = –4, b = 1
C. No; two variables are multiplied together.
D. No; x has an exponent other than 1.

9. Brain Break!
Find three students in the room that you have not talked to, shake their hand and introduce yourself!

10. Standard Form

11. Example 4
Example 4: Write y = 3x – 9 in standard form. Identify A, B, and C.

12. Steps for Intercepts

13. Example 5
Example 5: Find the x-intercept and the y-intercept of the graph of –2x + y – 4 = 0. Then graph the equation.

14. Your turn!
3. What are the x-intercept and the y-intercept of the graph of 3x – y + 6 = 0?
A. x-intercept = –2 C. x-intercept = 2 y-intercept = 6 y-intercept = –6
B. x-intercept = 6 D. x-intercept = –6 y-intercept = –2 y-intercept = 2

15. Exit Slip
Write the function in standard form then identify the x and y intercepts.
𝑓 𝑥 = 1 5 𝑥−1