Math Problem Statement

using the first image as an example solve the equation on the second image

Using the first image as an example, solve the equation in the second image.

Solution

To solve the problem in the second image, we need to follow the same approach as shown in the first example. Here are the steps:

  1. Locate the given x-coordinate: The question asks to find f(3)f(-3), so we need to look for x=3x = -3 on the x-axis.

  2. Trace the corresponding y-value: After locating x=3x = -3, trace vertically to the point on the curve. From the graph, it appears that the value of yy when x=3x = -3 is y=3y = 3.

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

Answer:

f(3)=3f(-3) = 3

Would you like further clarification or details?

Here are some related questions to further your understanding:

  1. What does the value f(x)f(x) represent on a graph of y=f(x)y = f(x)?
  2. How do you interpret the maximum and minimum points on a graph of a function?
  3. How do we determine the slope of the function between two points?
  4. What is the meaning of the domain and range of a function on a graph?
  5. How can you tell if a function is increasing or decreasing on a graph?

Tip: When working with function graphs, always ensure to carefully observe how the curve behaves around the points of interest for better accuracy.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Interpretation
Coordinate Geometry

Formulas

f(x) value from graph

Theorems

Function Value at a Point

Suitable Grade Level

Grades 7-9