Math Problem Statement

Use the graph to answer the question: Find f(3).

Solution

To find f(3)f(3) from the given graph, we need to look at the y-coordinate of the point where the graph crosses or touches x=3x = 3.

From the image, at x=3x = 3, the graph passes through the point (3,6)(3, 6). This means f(3)=6f(3) = 6.

Thus, the correct answer is: f(3)=6f(3) = 6

Would you like more details or have any other questions?

Here are 5 related questions to further explore the concept:

  1. How can we determine if a function is continuous at a certain point from its graph?
  2. What does it mean if there is a hole (open circle) in the graph at a point?
  3. How do we calculate the slope of the graph at any point?
  4. What happens to the value of a function if there's a vertical asymptote at a certain point?
  5. How can you tell if a function has a local maximum or minimum using a graph?

Tip: Always check for open circles in a graph—they indicate points where the function is not defined, even if the graph is close to that point.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 7-10