Math Problem Statement

Select the correct answer below:

−5

0

1

2

−3

Solution

To solve the problem, we need to find the value of f(2)f(2) using the given graph of y=f(x)y = f(x).

Steps:

  1. Locate the point where x=2x = 2 on the graph: Find the vertical line that crosses the x-axis at x=2x = 2.

  2. Determine the y-value at x=2x = 2: Identify the y-coordinate of the point on the graph that corresponds to x=2x = 2. This y-coordinate is the value of f(2)f(2).

Analysis:

  • On the graph, when x=2x = 2, the corresponding y-value is located.
  • From the graph, the point at x=2x = 2 appears to have a y-coordinate of 3-3.

Answer:

The correct value of f(2)f(2) is 3-3.

Would you like more details or have any other questions?

Here are 5 related questions to explore further:

  1. What is the value of f(0)f(0) based on the graph?
  2. How does the graph indicate whether the function is increasing or decreasing at a certain point?
  3. What are the x-values where f(x)=0f(x) = 0?
  4. How would you find the vertex of the parabola from the graph?
  5. What is the significance of the axis of symmetry for the parabola in the graph?

Tip: When reading values from a graph, make sure to align carefully with the x and y axes to avoid errors in interpreting the coordinates.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing

Formulas

-

Theorems

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Suitable Grade Level

Grades 7-9