In Exercises 65–70, use the graph of f to find each indicated function value.

f(-2)

Verified step by step guidance

1. Step 1: Understand the problem. You are tasked with finding the value of the function f at x = -2, denoted as f(-2). This involves locating the point on the graph where x = -2 and determining the corresponding y-value.
2. Step 2: Locate x = -2 on the horizontal axis of the graph. The horizontal axis represents the x-values, and you need to find the point where x = -2.
3. Step 3: From x = -2, move vertically along the graph until you intersect the curve of the function f. This intersection point represents the value of the function at x = -2.
4. Step 4: Determine the y-coordinate of the intersection point. The y-coordinate of this point is the value of f(-2). Look at the vertical axis to read the corresponding y-value.
5. Step 5: Verify your result by ensuring the intersection point aligns correctly with the graph and the axes. This confirms the accuracy of the function value f(-2).

Key Concepts

Function Value

The function value, denoted as f(x), represents the output of a function for a given input x. In this context, finding f(-2) means determining the y-coordinate of the graph at x = -2. This is essential for understanding how to read and interpret function graphs.

Graph Interpretation

Interpreting a graph involves analyzing the plotted points and curves to extract meaningful information. For this question, it requires locating the point on the graph where x = -2 and identifying the corresponding y-value, which represents f(-2). This skill is crucial for visualizing mathematical relationships.

Coordinate System

A coordinate system provides a framework for locating points in a plane using pairs of numbers (x, y). In this case, the x-axis represents the input values, while the y-axis represents the output values of the function. Understanding this system is vital for accurately determining function values from a graph.