Math Problem Statement

Find f(-5) from the graph.

Solution

To find f(5)f(-5) from the graph, we need to locate where x=5x = -5 and determine the corresponding yy-value on the curve.

  1. On the graph, locate x=5x = -5 on the horizontal axis.
  2. From x=5x = -5, trace vertically to the point on the curve.

From the graph, the point corresponding to x=5x = -5 appears to be at (5,20)(-5, -20). Therefore, the value of f(5)f(-5) is:

f(5)=20f(-5) = -20

Would you like more details or have any other questions?

Here are five related questions for practice:

  1. What is f(0)f(0) based on the graph?
  2. What is f(10)f(10) on the same graph?
  3. Identify the interval where the function is increasing.
  4. What is the range of the function shown in the graph?
  5. At which xx-value does the function have a maximum?

Tip: Always pay close attention to the scale on both the xx-axis and yy-axis of a graph; they might differ, affecting your interpretations.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph interpretation
Coordinate system

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12