FIRE UP!! TUESDAY Welcome BACK! 1. Turn in your signed syllabus to the front basket. 2. Pick up a Unit 1 Parent Function Graph Packet Why Learn Math?? Discuss with your neighbor reasons you should learn math! http://youtu.be/yir86f0Uulw Fortune 500 Companies • We can teach our employees the technical parts of the job, but they need to know how to ask the right questions!! • We are looking for people that are reliable and can problem solve!!! Parent Functions • Students should be able to graph and state the characteristics for the following 8 parent functions – Constant – Identity/Linear – Quadratic – Cubic – Absolute Value – Square Root – Reciprocal – Greatest Integer 4 Parent Function Overview • Unit 1 will be focusing on 8 parent functions. • You learned many of these in Algebra-2, but we will explore more characteristics! • Let’s see what you recall from Alg-2???? • Sketch a graph of the 8 parent functions on the worksheet you picked up Constant Absolute Value Reciprocal Linear Square Root Quadratic Cubic Greatest Integer Function (GIF) Objectives • I can write solutions in Interval Notation format • I can graph the 8 parent functions x2 x 3 3 x 8 These are all in Inequality Notation We are going to change them to INTERVAL NOTATION What is Interval Notation? [ ] means “included” (equal to) Like a closed dot, ( ) , > < means “not included” Like an open dot, , > < HIGHLIGHT THIS IN YOUR NOTEBOOK! Infinity??? All negative numbers All positive numbers We ALWAYS use ( ) with infinity!!! HIGHLIGHT THIS IN YOUR NOTEBOOK! Interval Notation • Domain: All x-values that makeup the graph • Range: All y-values that makeup graph • Interval Notation: Used to show a range of values: • Example: If the domain is all numbers between –3 to 6 then in interval notation: • (-3, 6) • If we want to include the numbers –3 and 6, then • [-3, 6] Interval Notation Sets may be described in many ways: by roster, by set-builder notation, by interval notation, by graphing on a number line, and/or by Venn diagrams. We will be using interval notation and number lines! An interval is a connected subset of numbers. [ Example: means "included" or "closed". ( means "not included" or "open". Interval notation---- -1 0 2 graphing on a number line 6 Example: x < 13 or x > 13 Note infinite Is always open! -1 0 Example: 2 6 13 x < 0 or 2 < x < 10 -1 0 open 2 6 13 closed Practice • Let’s do some practice with the small white boards! • Please get – White Board – Marker – Eraser/Rag Homework • Read Textbook pages A2-A3 in back on interval notation if you need additional help • WS 1-1 • Start Parent Function Packets See graphs at back of textbook.