Math Problem Statement

Evaluate f(2) and solve f(x) = 2 based on the given graph.

Solution

Let's analyze the graph to address the questions:

  1. Evaluate f(2)f(2):

    • From the graph, locate the point where x=2x = 2. It looks like the function value f(2)f(2) is approximately 1.
  2. Solve f(x)=2f(x) = 2:

    • To solve f(x)=2f(x) = 2, find the xx-values where the graph crosses y=2y = 2.
    • From the graph, this happens at two points: one around x=0x = 0 and the other around x=4x = -4.

Thus:

  • f(2)=1f(2) = 1
  • f(x)=2f(x) = 2 at x=0x = 0 and x=4x = -4.

Would you like a more detailed explanation of how these values were obtained?

Here are 5 related questions to expand your understanding:

  1. What happens to f(x)f(x) as xx increases beyond 5?
  2. Can you estimate f(2)f(-2) from the graph?
  3. How does the graph behave as xx \to -\infty?
  4. What is the slope of the graph between x=1x = 1 and x=3x = 3?
  5. What are the xx-intercepts of the graph?

Tip: Always check if a function is increasing or decreasing by looking at the slope (positive for increasing, negative for decreasing).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Graph Reading
Function Evaluation

Formulas

-

Theorems

-

Suitable Grade Level

Grades 8-10