Math Problem Statement

Evaluate f(0) and determine x when f(x) = -3 from the given graph.

Solution

Let's analyze the graph and solve the problems.

1. Evaluate f(0)f(0):

  • To find f(0)f(0), we locate x=0x = 0 on the graph. The corresponding yy-coordinate gives the value of f(0)f(0).
  • From the graph, when x=0x = 0, y=2y = -2.

So, f(0)=2f(0) = -2.

2. Determine xx when f(x)=3f(x) = -3:

  • To find xx when f(x)=3f(x) = -3, we need to find where the graph intersects y=3y = -3.
  • From the graph, at y=3y = -3, the corresponding xx-coordinate is x=1x = 1.

Thus, x=1x = 1 when f(x)=3f(x) = -3.


Would you like more details on how I analyzed the graph or solved these problems?

Here are 5 related questions to further practice:

  1. What is the slope of the line represented by f(x)f(x)?
  2. Find f(4)f(-4) using the graph.
  3. Determine xx when f(x)=0f(x) = 0.
  4. What is the equation of the line for f(x)f(x)?
  5. Evaluate f(2)f(2).

Tip: To evaluate functions from graphs, always look for the corresponding yy-coordinate for a given xx, and vice versa!

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Function Evaluation
Graph Interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9