p7, p8, p9
TRANSCRIPT
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Do Now
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Objectives P7, P8, P9Honors Calculus
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Agenda
1. Discuss Do Now (5 min)
2. Homework Questions (10 min)
3. OBJ P7
4. OBJ P8
5. OBJ P9
6. Calculators
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Do Now Review
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P7: Evaluatecomposition of
functions.
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P7: Evaluatecomposition of
functions.
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P7: Evaluatecomposition of
functions.
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P7: Evaluatecomposition of
functions.
Practice worksheet. 5 minutes!
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P7: Evaluatecomposition of
functions.Summary:
- Composition of functionsis
plugging one function into the
other.- Use parenthesesif youget
confused.
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P8: Determine domain and
range of functions.Domain is your x. Rangeis your y.
The domain is all x valuesthat are
valid for your function. What x
can and cant you plugin?
The rangeis all y valuesthat are
possible from your function. What ycan orcant I get from the function?
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P8: Determine domain and
range of functions.Finding domain:
1) Start with all real numbers.
2) Look for areasin your function
that will give you an error: 0 inthe denominator, negatives
under a square root, etc.
3) Your domain is what numbersare left.
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P8: Determine domain and
range of functions.Finding range:
1) Start with all real numbers.
2) Look for numbersthat youcant
getbecause of a square, asquare root, a limited domain,
etc.
3) Your rangeis whatis left.
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P8: Determine domain and
range of functions.
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P8: Determine domain and
range of functions.
Practice Worksheet: 5 minutes!
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P8: Determine domain and
range of functions.Summary:
- Domain gives possible xs.
- Rangegives possible ys.
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P9: Solve polynomial, exponential,
and trigonometricequations.
Solving an equation is all aboutisolatingthevariablein question.
For polynomials, thisinvolvesaddition, subtraction, multiplication,
and division.
For exponentials, itinvolvesinverse
logarithms.
For trigonometrics, itinvolves
inversetrig function and knowledge
oftheunitcircle.
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P9: Solve polynomial, exponential,
and trigonometricequations.
Polynomial Equations:
When yousolve a polynomial, you
arebasically looking for what xmakesitequal to 0.
Thiscan be donethrough factoring,
formulas, and sometimeevensynthetic division! Thegraphing
calculatorhelps withthisso synthetic
division isnt needed.
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P9: Solve polynomial, exponential,
and trigonometricequations.
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P9: Solve polynomial, exponential,
and trigonometricequations.
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P9: Solve polynomial, exponential,
and trigonometricequations.
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P9: Solve polynomial, exponential,
and trigonometricequations.
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P9: Solve polynomial, exponential,
and trigonometricequations.
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P9: Solve polynomial, exponential,
and trigonometricequations.
Summary:
- Search for zeroes of
polynomial functions.
- Useinverses forexponentialsand trigonometrics.
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Questions?
HW: Problem Set P7-P9.