If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Main content

Unit: Get ready for limits and continuity

0

Possible mastery points

Evaluating functions

Learn

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!

Inputs and outputs of a function

Learn

Practice

Function inputs & outputs: graphGet 3 of 4 questions to level up!

Composing functions

Learn

Practice

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

Quiz 1

Level up on the above skills and collect up to 480 Mastery points

Piecewise functions

Learn

Practice

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!

Quiz 2

Level up on the above skills and collect up to 240 Mastery points

Introduction to factoring

Learn

Practice

GCF factoring introductionGet 3 of 4 questions to level up!

Factoring quadratics intro

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!

Factoring quadratics by grouping

Learn

Practice

Factor quadratics by groupingGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 320 Mastery points

Factoring quadratics with difference of squares

Learn

Practice

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

Factoring quadratics with perfect squares

Learn

Practice

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

Factoring higher degree polynomials

Learn

Practice

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

Quiz 4

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

Introduction to the trigonometric ratios

Learn

Practice

Trigonometric ratios in right trianglesGet 3 of 4 questions to level up!

The reciprocal trigonometric ratios

Learn

Practice

Reciprocal trig ratiosGet 5 of 7 questions to level up!

Unit circle introduction

Learn

Practice

Unit circleGet 3 of 4 questions to level up!

Radians

Learn

Practice

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

The Pythagorean identity

Learn

Practice

Use the Pythagorean identityGet 3 of 4 questions to level up!

Quiz 5

Level up on the above skills and collect up to 480 Mastery points

Special trigonometric values in the first quadrant

Learn

Trig values of π/4
(Opens a modal)

Practice

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

Trigonometric identities on the unit circle

Learn

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!

Angle addition identities

Learn

Practice

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

Quiz 6

Level up on the above skills and collect up to 320 Mastery points

Reducing rational expressions to lowest terms

Learn

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!

End behavior of rational functions

Learn

End behavior of rational functions
(Opens a modal)

Practice

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

Discontinuities of rational functions

Learn

Discontinuities of rational functions
(Opens a modal)

Practice

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

Multiplying and dividing rational expressions

Learn

Practice

Multiply & divide rational expressions: Error analysisGet 3 of 4 questions to level up!

Quiz 7

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

Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 3300 Mastery points!

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!