Math Problem Statement

Given the function f(x) graphed below, find f(2).

Solution

To solve the given problem, we need to determine f(2)f(2) from the graph of the function f(x)f(x).

  1. Find the x-coordinate of 2 on the x-axis.
  2. Look vertically up or down to see where the graph intersects this x-coordinate.
  3. The y-coordinate at this intersection point will give the value of f(2)f(2).

From the graph, at x=2x = 2, the y-value is approximately 33. Therefore, f(2)=3f(2) = 3.

The correct answer is: f(2)=3f(2) = 3

Do you want any further explanation? Here are some related questions:

  1. What is the value of f(0)f(0) from the graph?
  2. How can you find f(x)f(x) for negative values of xx?
  3. What is the behavior of the function as xx approaches infinity?
  4. Can you estimate the slope of the function around x=2x = 2?
  5. How can you check whether the function is increasing or decreasing between two points?

Tip: When reading a graph, always check for continuity and whether the function is defined at the given point.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Reading

Formulas

-

Theorems

None

Suitable Grade Level

Grades 9-12