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# Unit 1: Get ready for limits and continuity

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## About this unit

In calculus, you'll encounter continuous functions that approach—but never get to—a limit. Don't worry if these functions sound funky—after reviewing skills such as factoring and trigonometric ratios to analyze different kinds of functions, you'll feel continuously limitless in the kinds of functions you can tackle!

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### Practice

- Evaluate functionsGet 3 of 4 questions to level up!
- Evaluate functions from their graphGet 3 of 4 questions to level up!
- Evaluate function expressionsGet 3 of 4 questions to level up!

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### Practice

- Evaluate composite functionsGet 3 of 4 questions to level up!
- Evaluate composite functions: graphs & tablesGet 3 of 4 questions to level up!

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- Evaluate piecewise functionsGet 3 of 4 questions to level up!
- Evaluate step functionsGet 3 of 4 questions to level up!
- Piecewise functions graphsGet 3 of 4 questions to level up!

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### Learn

### Practice

- Factoring quadratics introGet 3 of 4 questions to level up!
- Factoring quadratics with a common factorGet 3 of 4 questions to level up!

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### Practice

- Difference of squares introGet 3 of 4 questions to level up!
- Difference of squaresGet 3 of 4 questions to level up!

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### Practice

- Perfect squares introGet 3 of 4 questions to level up!
- Perfect squaresGet 3 of 4 questions to level up!

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- Factor higher degree polynomialsGet 3 of 4 questions to level up!

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### Practice

- Unit circleGet 3 of 4 questions to level up!

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- Radians & degreesGet 3 of 4 questions to level up!
- Unit circle (with radians)Get 3 of 4 questions to level up!

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### Practice

- Trig values of π/6, π/4, and π/3Get 3 of 4 questions to level up!

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### Practice

- Trig identities from reflections and rotationsGet 3 of 4 questions to level up!
- Trig values of special anglesGet 3 of 4 questions to level up!

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### Practice

- Using the trig angle addition identitiesGet 3 of 4 questions to level up!

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### Practice

- Reduce rational expressions to lowest terms: Error analysisGet 3 of 4 questions to level up!
- Reduce rational expressions to lowest termsGet 3 of 4 questions to level up!

### Practice

- End behavior of rational functionsGet 3 of 4 questions to level up!

### Practice

- Rational functions: zeros, asymptotes, and undefined pointsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

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Level up on all the skills in this unit and collect up to 3,300 Mastery points!