Warm–up #3

Warm–up #3 Solutions

Homework Log Tues 11/3 Lesson 3 – 2 Learning Objective: To find difference quotients & to graph functions Hw: #304 Pg. 179 #45 – 51 odd, 54, 56, 57 – 63 odd, 64, 70 – 76 even

11/3/15 Lesson 3 – 2 Difference Quotients & Function Graphs Day 2 Advanced Math/Trig

Learning Objective To find difference quotient To evaluate functions To graph absolute value and quadratic functions To graph step functions

Difference Quotient

Find the Difference Quotient

Function 4. Determine if this is a function No! It doesn’t pass the vertical line test.

Function Graphs

Vertex: (0, –4) x y V(0 – 4) – 2 – – 2 – 3 – 2 Is a function. Passes the vertical line test.

Vertex: (3, 0) x y V(3 0) Is a function. Passes the vertical line test.

Vertex: (–2, 3) x y V(– 2 3) – 4 – 3 – Is a function. Passes the vertical line test.

Vertex: (0, 1) x y V(0 1) – 2 – Is a function. Passes the vertical line test.

Vertex: (1, –5 ) x y V( 1 –5) – –3 3 Is a function. Passes the vertical line test.

Greatest Integer Function –4–3 –2 –

Graph xy y x Is a function, so must pass the vertical line test.

Greatest Integer Function y x Actual Table: x y

y x Graph xy

y x Graph xy –2 –1 0

Evaluate

Evaluate the difference quotient

Ticket Out the Door

Homework #304 Pg. 179 #45 – 51 odd, 54, 56, 57 – 63 odd, 64, 70 – 76 even