Math Problem Statement

answer

Evaluate the function graphically. Find f(3).

Solution

To find f(3)f(3) graphically, you need to locate the point on the graph where x=3x = 3 and then determine the corresponding yy-value.

  1. From the graph, observe the point where x=3x = 3.
  2. At x=3x = 3, the function f(x)f(x) has a filled dot at y=3y = -3.

Thus, f(3)=3f(3) = -3.

Would you like any additional details or clarifications? Here are some related questions:

  1. What does it mean when a point is marked with an open circle versus a closed circle on a graph?
  2. How can you use a graph to estimate function values for non-integer xx-values?
  3. How do you determine the domain and range of the function based on the graph?
  4. What is the maximum value of the function, and at what xx-value does it occur?
  5. How can we check if this function is increasing or decreasing at certain intervals?

Tip: When interpreting graphs, filled dots indicate that the point is included in the function, while open dots indicate the point is excluded.

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Math Problem Analysis

Mathematical Concepts

Graphing Functions
Function Evaluation
Coordinate Geometry

Formulas

None for this specific problem; this is based on reading graph values.

Theorems

None for this specific problem; it's about interpreting the graph.

Suitable Grade Level

Grades 7-9