1. Pg. 57/73 Homework Pg. 73# 121 – 128 all Pg. 66 # 1 – 11 odd, 35 – 38 all #61x = 9 ft or 11 ft#62x = 2.50 in #6331, 250 ft 2 #124r = 6.91 units #129Graph#130Q1 integers #131(800, 143000)#143s(t) = -16t 2 +70t+200 #144Graph#145Q1 #146t = 0.39, 3.98 sec#147(0.39, 3.98)

2. Pg. 73 Homework Problems #124 A = π r 2 150 = π r 2 solve for r and you get r ≈ 6.910 #143 - 147 s(t) = -16t 2 + 70t + 200 225 = -16t 2 + 70t + 200 t = 0.392 and t = 3.983 When t is between those values.

3. 1.6 Operations on Functions and Composition of Functions A long rectangular sheet of metal 10 in. wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet. Find the length that must be turned up to produce a gutter with maximum cross- sectional area.

4. 1.6 Operations on Functions and Composition of Functions Operations of FunctionsDomain and Range The domain of the new function created consists of all numbers x that belong to the domains of both f and g. The quotients domain also requires that g(x) ≠ 0.

5. 1.6 Operations on Functions and Composition of Functions Practice Let and Find State the domain for each. Now for and try:

6. 1.6 Operations on Functions and Composition of Functions Composition of Functions Notation is given by: In order for a value of x to be in the domain of f◦g, two conditions must be met: – x must be in the domain of f – f(x) must be in the domain of g Practice Let and – Find and and determine their domain. Let and – Find and and determine their domain.