Math Problem Statement

Determine x when f(x) = 3

Determine x when f(x) = 3

Solution

From the graph provided, we need to determine the xx-value(s) where f(x)=3f(x) = 3.

Step-by-Step Analysis:

  1. Locate the horizontal line where f(x)=3f(x) = 3 (the y=3y = 3 level) on the graph.
  2. Observe where this line intersects the curve.
  3. Read the corresponding xx-coordinate(s) at these intersection points.

Observations:

From the graph:

  • The function intersects y=3y = 3 at approximately x=1x = -1.

Final Answer:

When f(x)=3f(x) = 3, x1x \approx -1.

Would you like me to analyze the function's behavior or provide further explanations?


Relative Questions:

  1. What is the value of f(x)f(x) at x=4x = 4?
  2. Does the function have a maximum or minimum value? If so, what is it?
  3. What is the domain and range of f(x)f(x) as shown in the graph?
  4. At what point does f(x)f(x) cross the x-axis?
  5. How does the slope of f(x)f(x) change across the graph?

Tip: When analyzing graphs, always verify values by matching the horizontal and vertical coordinates carefully!

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Functions
Coordinate Geometry

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8