Math Problem Statement

Evaluate f(-3) using the graph of the function f(x).

Solution

To evaluate f(3)f(-3), we need to look at the graph and find the y-value corresponding to x=3x = -3.

From the graph:

  • When x=3x = -3, the corresponding y-value is 44.

Therefore, f(3)=4f(-3) = 4.

Would you like more details on how to interpret the graph or any further questions?

Here are 5 follow-up questions:

  1. How can we determine whether a function is increasing or decreasing from a graph?
  2. What is the significance of the x-intercepts and y-intercepts on a graph of a function?
  3. How do we find the domain and range of a function from its graph?
  4. Can you identify if this function is continuous or not?
  5. What are local maxima and minima, and how can we find them on a graph?

Tip: When reading function values from a graph, make sure to accurately locate the corresponding point for the given x-value and check the y-value carefully.

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Math Problem Analysis

Mathematical Concepts

Function evaluation
Graph interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 7-10