Use the graphs of f and g to solve Exercises 83–90.
Find (g-f) (-2).

Verified step by step guidance

1. Identify the value of g(x) at x = -2 from the graph.
2. Identify the value of f(x) at x = -2 from the graph.
3. Calculate (g-f)(-2) by subtracting f(-2) from g(-2), i.e., (g-f)(-2) = g(-2) - f(-2).
4. Verify the values obtained from the graph for accuracy.
5. Interpret the result in the context of the problem.

Key Concepts

Function Evaluation

Function evaluation involves substituting a specific input value into a function to determine its output. In this case, we need to evaluate both functions f and g at x = -2 to find their respective values. This is a fundamental skill in algebra, as it allows us to analyze and manipulate functions effectively.

Difference of Functions

The difference of functions, denoted as (g - f)(x), represents the result of subtracting the output of function f from the output of function g at a given input x. This operation is crucial for understanding how two functions compare at specific points, and it can reveal important information about their behavior and relationships.

Graph Interpretation

Graph interpretation involves analyzing the visual representation of functions to extract meaningful information. By examining the graphs of f and g, we can identify their values at specific points, such as x = -2, and understand their overall behavior, including intersections, trends, and differences. This skill is essential for solving problems that involve graphical data.