Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Algebra
By the end of this lesson, you will be able to:
- Define and identify linear functions.
- Understand and use function notation.
- Determine the domain and range of linear functions.
- Evaluate functions for given input values.
- Graph linear functions using tables and slope-intercept form.
- Interpret linear functions in real-world contexts.
- Analyze the slope and y-intercept of a linear function.
What is a Linear Function?
A linear function is a function whose graph is a straight line. It represents a constant rate of change, meaning that for every equal increase in the input (independent variable), the output (dependent variable) changes by the same amount.
Linear functions are among the most important concepts in algebra because they model many real-world situations, such as distance traveled over time, salary based on hours worked, and temperature conversions. On the Digital SAT, students are expected to recognize, evaluate, graph, and interpret linear functions presented as equations, tables, graphs, or word problems.