Questions: Let f=(2,-9),(-9,-9),(-2,2). Find (a) f(-9) and (b) f(2).

Let f=(2,-9),(-9,-9),(-2,2). Find (a) f(-9) and (b) f(2).
Transcript text: Let $f=\{(2,-9),(-9,-9),(-2,2)\}$. Find $(a) f(-9)$ and (b) $f(2)$.
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Solution

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Solution Steps

To solve this problem, we need to evaluate the function \( f \) at specific input values. The function \( f \) is defined as a set of ordered pairs. For each input value, we will look for a pair in the set where the first element matches the input value and return the second element as the output.

Solution Approach
  1. Identify the ordered pair in the set where the first element is \(-9\) to find \( f(-9) \).
  2. Identify the ordered pair in the set where the first element is \(2\) to find \( f(2) \).
Step 1: Evaluate \( f(-9) \)

To find \( f(-9) \), we look for the ordered pair in the set where the first element is \(-9\). The function \( f \) is defined as \( f = \{(2, -9), (-9, -9), (-2, 2)\} \). The pair \((-9, -9)\) indicates that when the input is \(-9\), the output is \(-9\). Therefore, \( f(-9) = -9 \).

Step 2: Evaluate \( f(2) \)

To find \( f(2) \), we look for the ordered pair in the set where the first element is \(2\). The pair \((2, -9)\) indicates that when the input is \(2\), the output is \(-9\). Therefore, \( f(2) = -9 \).

Final Answer

  • \( f(-9) = \boxed{-9} \)
  • \( f(2) = \boxed{-9} \)
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