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

Check Homework

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

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 ______.

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.

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.

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

Standard Form

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

Steps for Intercepts

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

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

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