CLEP College Math

CLEP College Math covers essential mathematical concepts and skills necessary for college-level coursework.

Numbers and OperationsAlgebraic Expressions and EquationsGeometry and Measurement
Functions and GraphsProbability and StatisticsLogic and Set Theory
Budgeting and Financial MathMeasurements in Cooking and ConstructionPlanning Travel and Scheduling
Time Management for the CLEP ExamUsing Estimation and Mental Math
Numbers and Operatio...Algebraic Expression...Geometry and Measure...Functions and GraphsProbability and Stat...Logic and Set TheoryBudgeting and Financ...Measurements in Cook...Planning Travel and ...Time Management for ...Using Estimation and...
Advanced Topics

Functions and Graphs

What Are Functions?

A function is a special relationship where each input has exactly one output. You can think of it as a machine: put in a number, and the function gives you another number back.

Representing Functions

  • Equation: \(y = 2x + 1\)
  • Table: Shows input and output pairs.
  • Graph: Plots the relationship on the coordinate plane.

Reading Graphs

Graphs help visualize how one quantity changes with another. Understanding the slope and intercepts helps you predict trends and make decisions.

Real-World Use

Functions and graphs are used in science to plot data, in business to track profits, and in everyday life to follow trends like temperature over time.

Key Formula

\[y = mx + b\]

Examples

  • The function \(y = 2x\) doubles any input: if \(x = 3\), then \(y = 6\).

  • Graphing daily temperatures to see how weather changes over a week.

In a Nutshell

Functions and graphs model relationships between quantities and are essential for analyzing data.

Key Terms

Slope
A measure of how steep a line is on a graph.
Intercept
The point where a graph crosses the axis.
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Probability and Statistics