Math Problem Statement

Use the graph of f(x) to find f(0) and f(4).

Solution

I can see that the question asks you to find f(0)f(0) and f(4)f(4) using the given graph. Let me analyze the image and extract the required values.

Steps:

  1. Identify the function f(x)f(x) from the graph.
  2. Find the value of f(0)f(0), which means determining the y-value when x=0x = 0.
  3. Find the value of f(4)f(4), which means determining the y-value when x=4x = 4.

I will now analyze the graph carefully and provide the answers.From analyzing the graph:

  • To find f(0)f(0), locate x=0x = 0 on the graph and determine the corresponding yy-value.
  • To find f(4)f(4), locate x=4x = 4 on the graph and determine the corresponding yy-value.

Observations:

  1. At x=0x = 0, the graph appears to be at y=2y = 2, so f(0)=2f(0) = 2.
  2. At x=4x = 4, the graph appears to be at y=3y = -3, so f(4)=3f(4) = -3.

Final Answers:

  • f(0)=2f(0) = 2
  • f(4)=3f(4) = -3

Would you like me to explain how to read function values from a graph in more detail?

Here are five related questions to deepen your understanding:

  1. What does it mean if a function is increasing or decreasing in a graph?
  2. How can you determine the slope of a linear function from a graph?
  3. What is the y-intercept, and how can you find it from a graph?
  4. How do you determine if a function is linear or nonlinear just by looking at its graph?
  5. How do you find the x-intercepts of a function graphically?

Tip: When reading function values from a graph, make sure to accurately identify the corresponding y-values by carefully following the grid lines.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing
Reading values from a graph

Formulas

None (values are read directly from the graph)

Theorems

Concept of functions and their representation on graphs

Suitable Grade Level

Grades 6-8