Finding Function Values from an Equation

Question:
Let f of x equal negative 2x plus 7. Find f of negative 3, f of 0, and f of 5. Then explain what each result represents as a point on the graph of f.

Finding Function Values from an Equation

This lesson covers how to evaluate a linear function at specific input values by substituting into the rule f(x) = −2x + 7. Students connect each output to a coordinate point on the graph and interpret key features such as slope, y-intercept, and x-intercept.

In this lesson, you will learn to:
• Evaluate a linear function f(x) = mx + b at given x-values by substituting and simplifying.
• Interpret each function value f(x) as the y-coordinate of a point (x, f(x)) on the graph.
• Identify the y-intercept and x-intercept of a linear function from its equation and graph.
• Describe how the sign of the slope determines whether a linear function is increasing or decreasing.

Course: Algebra1 ·