Pre-Calculus

Pre-Calculus prepares students for calculus by covering functions, trigonometry, and analytical geometry.

Functions and Their PropertiesTrigonometric FunctionsAnalytical Geometry
Polynomial and Rational FunctionsExponential and Logarithmic FunctionsConic Sections
Modeling Real-World DataEngineering and DesignFinance and Population Growth
Graphing TechniquesProblem-Solving and Test Preparation
Functions and Their ...Trigonometric Functi...Analytical GeometryPolynomial and Ratio...Exponential and Loga...Conic SectionsModeling Real-World ...Engineering and Desi...Finance and Populati...Graphing TechniquesProblem-Solving and ...
Study Strategies

Graphing Techniques

Mastering Graphs for Success

Visualizing functions and equations is one of the most powerful strategies in Pre-Calculus. Drawing accurate graphs helps reveal patterns, intercepts, and key features like turning points and asymptotes.

Tips for Graphing

  • Start by finding intercepts and symmetry.
  • Identify important points (like maxima and minima).
  • Use graphing calculators or online tools for more complex functions.

Seeing the shape of a function often makes solving problems much easier!

Examples

  • Sketching the graph of \( y = x^2 - 4 \) to find when it crosses the x-axis.

  • Using a graphing calculator to visualize an exponential growth curve.

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Problem-Solving and Test Preparation