Precalculus Worksheets

Functions:

• Continuity

• Extrema, intervals of increase and decrease

• Power functions

• Average rates of change

• Transformations of graphs

• Piecewise functions

• Operations

• Inverses

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Power, Polynomial, and Rational Functions:

• Graphs, real zeros, and end behavior

• Dividing polynomial functions

• The Remainder Theorem and bounds of real zeros

• Writing polynomial functions and conjugate roots

• Complex zeros & Fundamental Theorem of Algebra

• Graphs of rational functions

• Rational equations

• Polynomial inequalities

• Rational inequalities

Exponential and Logarithmic Expressions:

• Graphing exponential functions

• Exponential equations not requiring logarithms

• Exponents and logarithms

• Evaluating logarithms

• Logarithms and exponents as inverses

• Properties of logarithms

• Writing logs in terms of others

• Exponential equations requiring logarithms

• Logarithmic equations, simple

• Logarithmic equations, hard

• Graphing logarithmic functions

• Compound interest

Trigonometry:

• Angles and angle measure

• Right triangle trigonometry

• Trig functions of any angle

• Graphing trig functions

• Simple trig equations

• Inverse trig functions

• Fundamental identities

• Equations with factoring and fundamental identities

• Sum and Difference Identities

• Multiple-Angle Identities

• Product-to-Sum Identities

• Equations and Multiple-Angle Identities

• The Law of Sines

• The Law of Cosines

Parametric Equations:

• Parametric equations

• Projectile motion

Polar Coordinates:

• Polar coordinates

• Graphs of polar equations

• Polar and rectangular forms of equations

• Polar forms of conic section

• Complex numbers and polar form

Conic Sections:

• Parabolas

• Circles

• Ellipses

• Hyperbolas

• Rotations of conic sections

Limits:

• Limits by direct evaluation

• Limits at kinks and jumps

• Limits at removable discontinuities

• Limits at essential discontinuities

• Limits at infinity