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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.