Warm- Up #1 Monday, 2/1/2016 Reflect on your first semester in your math class and answer the following questions: Write three new things that you have learned from last semester. Write three things that you have done well from last semester Write three things that you want to improve/achieve/learn from my class this second semester.

Warm-Up #2 Tuesday, 2/2 2y + 4 = 5x. What is the slope (m)? What is the y-intercept (b)? Solve for y in the equation 4x – 5y = 14 + 4 y = 3x + 5, if y = 10, then solve for x.

Homework Tuesday 2/2 Plug in Values worksheet

Lesson 5.3 What is a Function?

What is “rule” mean to you? Come up with examples when a rule applies to certain situations Examples:

Functions A function is a relation in which each element of the domain (x-values) is paired with exactly one element of the range (y-values). f(x) y x

Function Notation Input Name of Function Output

Different ways of writing f(x) = 4x + 6 or y = 4x + 6 f(3) = 4(3) + 6 or y = 4(3) + 6

Determine whether each relation is a function. 1. {(2, 3), (3, 0), (5, 2), (4, 3)} YES, every domain is different! f(x) 2 3 f(x) 3 f(x) 5 2 f(x) 4 3

Determine whether the relation is a function. 2. {(4, 1), (5, 2), (5, 3), (6, 6), (1, 9)} f(x) 4 1 f(x) 5 2 NO, 5 is paired with 2 numbers! f(x) 5 3 f(x) 6 f(x) 1 9

Is this relation a function? {(1,3), (2,4), (3,3)} Yes No X Y 1 3 2 4 Answer Now

Is this relation a function? {(2,3), (2,-4), (3,3)} Yes No X Y 2 3 -4 Answer Now

3(3)-2 3 7 -2 -8 3(-2)-2 Given f(x) = 3x - 2, find: 1) f(3) = 7 = -8 3(-2)-2 -2 -8

Given h(z) = z2 - 4z + 9, find h(-3) (-3)2-4(-3)+9 -3 30 9 + 12 + 9 h(-3) = 30

Given g(x) = x2 – 2, find g(4) 2 6 14 18 Answer Now