Algebra II Mr. Gilbert

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Algebra IIMr. Gilbert

• Chapter 7.7
• Operations on Functions
• Standard Honors

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Agenda

• Warm up
• Homework Review
• 11.7 Pascal
• Lesson
• Test
• return
• Bonus Opportunity
• Homework

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Transparency 1
Click the mouse button or press the Space Bar to
display the answers.
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Transparency 1a
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Homework Review
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Communicate Effectively

• Range
• Domain
• Function
• Order of Operations
• Composite function

• Building a cell phone business How much to spend
  on manufacturing, repair, getting customers?
• The cost of the manufacturing? (build it cheaply
  or robustly)
• The cost of warrantee? (repair or replace)
• The cost of a customer? (how to get and keep
  customers)

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Lesson 7 Contents
7-7 Operations on Functions
Example 1 Add and Subtract Functions (3) Example
2 Multiply and Divide Functions (4) Example
3 Evaluate Composition of Relations (3) Example
4 Simplify Composition of Functions (6) Example
5 Use Composition of Functions (6)

• Question
• How should a company spend to manufacture a
• a cell phone?
• The cost of the manufacturing? (build it cheaply
  or robustly)
• The cost of warrantee? (repair or replace)
• The cost of a customer? (how to get and keep
  customers)

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Example 7-1a
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Example 7-1b
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Example 7-1c
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Example 7-2a
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Example 7-2b
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Example 7-2c
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Example 7-2d
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Example 7-3a
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Example 7-3b
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Example 7-3c
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Example 7-4a
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Example 7-4b
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Example 7-4c
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Example 7-4d
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Example 7-4e
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Example 7-4f
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Example 7-5a
Taxes Tracie Long has 100 deducted from every
paycheck for retirement. She can have this
deduction taken before state taxes are applied,
which reduces her taxable income. Her state
income tax is 4. If Tracie earns 1500 every pay
period, find the difference in her net income if
she has the retirement deduction taken before or
after state taxes.
Explore Let x her income per paycheck, r (x)
her income after the deduction for retirement, t
(x) her income after tax.
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Example 7-5b
Plan Write equations for r (x) and t (x).
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Example 7-5c
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Example 7-5d
Examine The answer makes sense. Since the taxes
are being applied to a smaller amount, less taxes
will be deducted from her paycheck.
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Example 7-5e
Taxes Brandi Smith has 200 deducted from every
paycheck for retirement. She can have this
deduction taken before state taxes are applied,
which reduces her taxable income. Her state
income tax is 10. If Brandi earns 2200 every
pay period, find the difference in her net income
if she has the retirement deduction taken before
or after state taxes.
Answer Her net income is 20 more if she has the
retirement deduction taken before her state
taxes.
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Homework - Honors
See Syllabus 7.7 pp. 387-389 20-30 even, 35-43
odd, 47-56
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Homework
See Syllabus 7.7 pp. 387- 388 17-26, 29-30, 35-45
odd, 47-55