Math Problem Statement

Let f = {(6, -9), (-5, 6), (8, -8)}. Find f(6).

Solution

The function ff is defined by the set of ordered pairs:

f={(6,9),(5,6),(8,8)}.f = \{(6, -9), (-5, 6), (8, -8)\}.

To find f(6)f(6), you need to locate the pair where the first value (input) is 6. In this case, the pair is (6,9)(6, -9). The output value (second number) of this pair is 9-9.

Therefore,

f(6)=9.f(6) = -9.

Would you like a detailed explanation, or do you have any questions?

Related Questions:

  1. What is the range of the function ff?
  2. How do you determine if a relation is a function?
  3. What is f(5)f(-5) based on the given set of pairs?
  4. Can a function have the same input with different outputs?
  5. How do you find the domain of a function?

Tip:

When evaluating functions defined by ordered pairs, always look for the input value in the first component of the pairs.

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Math Problem Analysis

Mathematical Concepts

Functions
Ordered Pairs

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8