Use the graph of g to solve Exercises 71–76.
Find g(-4)

Verified step by step guidance

1. Identify the x-coordinate given in the problem, which is -4.
2. Locate -4 on the x-axis of the graph.
3. From the point -4 on the x-axis, move vertically until you intersect the graph of the function g(x).
4. Determine the y-coordinate of the point where the vertical line intersects the graph.
5. The y-coordinate at this intersection point is the value of g(-4).

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 the corresponding point on the graph.

Graph Interpretation

Interpreting a graph requires understanding how the x-axis and y-axis represent the input and output of a function, respectively. By analyzing the graph, one can visually determine the output value for a given input, which is essential for solving problems related to function values.

Coordinate System

A coordinate system is a two-dimensional plane defined by horizontal (x-axis) and vertical (y-axis) lines. Each point on the graph is represented by an ordered pair (x, y), where x indicates the input value and y indicates the output value of the function. Understanding this system is crucial for accurately reading and interpreting graphs.