Pg. 57/73 Homework

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Pg. 57/73 Homework - PowerPoint PPT Presentation

Pg. 57/73 Homework. Pg. 73 # 121 – 128 all Pg. 66 # 1 – 11 odd , 35 – 38 all # 61 x = 9 ft or 11 ft #62 x = 2.50 in #63 31, 250 ft 2 #124 r = 6.91 units #129 Graph #130 Q1 integers #131 (800, 143000) #143 s ( t ) = -16 t 2 +70 t +200 #144 Graph #145 Q1

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Pg. 57/73 Homework
• Pg. 73 # 121 – 128 all Pg. 66 # 1 – 11 odd, 35 – 38 all
• #61 x = 9 ft or 11 ft #62 x = 2.50 in
• #63 31, 250 ft2 #124 r = 6.91 units
• #129 Graph#130 Q1 integers
• #131 (800, 143000) #143 s(t) = -16t2 +70t+200
• #144 Graph #145 Q1
• #146 t = 0.39, 3.98 sec #147 (0.39, 3.98)
Pg. 73 Homework Problems

#124

#143 - 147

s(t) = -16t2 + 70t + 200

225 = -16t2 + 70t + 200t = 0.392 and t = 3.983

When t is between those values.

• A = πr2
• 150 = πr2 solve for r and you get r ≈ 6.910
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.
1.6 Operations on Functions and Composition of Functions

Operations of Functions

Domain and Range

The domain of the new function created consists of all numbers x that belong to the domains of bothf and g. The quotients domain also requires that g(x) ≠ 0.

1.6 Operations on Functions and Composition of Functions

Practice

State the domain for each.

Now for and try:

• Let and
• Find
1.6 Operations on Functions and Composition of Functions

Composition of Functions

Practice

Let and

Find and and determine their domain.

Let and

Find and and determine their domain.

• 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