Math Problem Statement

Using the graph provided, what is the value of g(x) when x = 3?

Solution

I can now see the graph and question from the image. The task is to find the value of g(3)g(3) by interpreting the graph.

Looking at the graph, we need to find the value of g(x)g(x) when x=3x = 3. To do this, locate x=3x = 3 on the x-axis and determine the corresponding yy-value on the graph. From the graph:

  • At x=3x = 3, the graph crosses at y=1y = -1.

Thus, g(3)=1g(3) = -1.

Let me know if you need further details!


Here are 5 related questions:

  1. What is the value of g(x)g(x) when x=0x = 0 on the graph?
  2. Can you find g(x)g(x) for other integer values like x=2x = 2?
  3. How can you determine if the function is increasing or decreasing at different intervals?
  4. What would be the behavior of the function g(x)g(x) as xx \to \infty?
  5. Could you estimate the value of g(1.5)g(1.5) based on the graph?

Tip: When analyzing graphs, always pay attention to key points like where the function crosses the x-axis or reaches local maxima or minima. These points give crucial insights!

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Math Problem Analysis

Mathematical Concepts

Graphing functions
Evaluating functions

Formulas

-

Theorems

Function evaluation

Suitable Grade Level

Grades 9-12