Math Problem Statement

Find f(-14) and f(-4) using the graph of the function f shown.

Solution

To solve for f(14)f(-14) and f(4)f(-4) using the given graph, we need to locate the points on the graph where x=14x = -14 and x=4x = -4 and observe their corresponding yy-values.

From the graph:

  1. When x=14x = -14, the corresponding yy-value is 4-4. Hence, f(14)=4f(-14) = -4.
  2. When x=4x = -4, the corresponding yy-value is 4-4. Hence, f(4)=4f(-4) = -4.

Thus:

  • f(14)=4f(-14) = -4
  • f(4)=4f(-4) = -4

Would you like further details or have any questions?

Here are some related questions to expand on this:

  1. What is the value of f(0)f(0) based on the graph?
  2. Where does the function cross the x-axis (i.e., what are the x-intercepts)?
  3. What is the maximum value of the function on the given graph?
  4. What is the value of f(12)f(12)?
  5. Can you identify the intervals where the function is increasing?

Tip: When reading function values from a graph, always ensure you carefully locate the correct x-value and follow it vertically to the corresponding y-coordinate.

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Function values

Formulas

-

Theorems

Reading values from a graph

Suitable Grade Level

Grades 8-10