Use the graph of g to solve Exercises 71–76.

Find g(-4)

Verified step by step guidance

1. Step 1: Understand the problem. You are tasked with finding the value of g(-4) using the graph provided. This means you need to locate the point on the graph where x = -4 and determine the corresponding y-value.
2. Step 2: Locate x = -4 on the horizontal axis (x-axis). Move vertically from this point until you intersect the graph of the function g.
3. Step 3: Identify the y-coordinate of the point where the graph intersects at x = -4. This y-coordinate represents g(-4).
4. Step 4: Carefully read the graph to ensure accuracy. The y-coordinate is the value of the function g at x = -4.
5. Step 5: Write down the result as g(-4) = [y-value from the graph].

Key Concepts

Function Evaluation

Function evaluation involves substituting a specific input value into a function to determine its output. In this case, finding g(-4) means identifying the value of the function g at x = -4 by locating this point on the graph.

Graph Interpretation

Graph interpretation is the ability to read and understand the information presented in a graph. This includes recognizing the axes, identifying points, and understanding the relationship between the x-values and their corresponding y-values, which is crucial for solving the problem.

Coordinate System

A coordinate system is a two-dimensional plane defined by a horizontal axis (x-axis) and a vertical axis (y-axis). Each point on the graph is represented by an ordered pair (x, y), where x indicates the position along the x-axis and y indicates the position along the y-axis, essential for locating points like g(-4).