Questions: Functions Part 2 of 2 Let f=(6,1),(-6,6),(1,1). Find (a) f(1) and (b) f(6). (a) f(1)=1 (b) f(6)=

Transcript text: Functions Part 2 of 2 Let $f=\{(6,1),(-6,6),(1,1)\}$. Find (a) $f(1)$ and (b) $f(6)$. (a) $f(1)=1$ (b) $f(6)=$

Solution

Solution Steps

To find the value of a function at a given point, we need to look for the pair in the set of ordered pairs that has the given input value. The output value of that pair is the function's value at that input.

Solution Approach

For $ f(1) $, find the pair where the first element is 1 and return the second element.
For $ f(6) $, find the pair where the first element is 6 and return the second element.

Step 1: Identify the Function Values

The function $ f $ is defined by the set of ordered pairs $\{(6,1),(-6,6),(1,1)\}$. We need to find the values of $ f(1) $ and $ f(6) $.

Step 2: Find $ f(1) $

To find $ f(1) $, we look for the pair where the first element is 1. The pair $(1, 1)$ indicates that $ f(1) = 1 $.

Step 3: Find $ f(6) $

To find $ f(6) $, we look for the pair where the first element is 6. The pair $(6, 1)$ indicates that $ f(6) = 1 $.