Math Problem Statement

The graph of a function f is shown below. Find f(1).

Solution

From the graph provided, the goal is to determine the value of f(1)f(1), which is the yy-coordinate of the point on the graph where x=1x = 1.

Looking at the graph:

  • At x=1x = 1, trace vertically upward or downward to the curve of the graph.
  • The corresponding yy-value is approximately 33.

Thus, f(1)=3f(1) = 3.

Let me know if you'd like further clarification!

Related Questions:

  1. What is the value of f(3)f(3) from the graph?
  2. Is the function f(x)f(x) increasing or decreasing at x=1x = 1?
  3. Can you identify the xx-intercepts of the graph?
  4. What is the maximum value of f(x)f(x) in the interval [2,4][-2, 4]?
  5. How would you describe the overall shape of the function?

Tip:

When analyzing a graph, always identify the xx- and yy-coordinates clearly to avoid misreading values.

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Functions
Coordinate geometry

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8