Evaluating and Analyzing a Linear Function

Question:
Given the function f of x equals negative 2x plus 7, where x represents the number of video game rentals per day: Part a — Evaluate f of 3 and explain what it means in context. Part b — If the store can process between 0 and 8 rentals per day, identify the domain and range of this function in context. Part c — Find the value of x when f of x equals 3.

Evaluating and Analyzing a Linear Function

This lesson explores a linear function in slope-intercept form by evaluating it at a specific input, identifying its domain and range within a real-world constraint, and solving for an unknown input given a specific output. Students practice substitution, algebraic solving, and interpreting function values in context.

In this lesson, you will learn to:
• Evaluate a linear function at a given input value and interpret the result in context.
• Identify the domain and range of a linear fu