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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 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. 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
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
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 functions1
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 functions2
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 functions3
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