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Functions and Notation
Example 1

Example 1: Function Evaluation

Step-by-step worked example for this lesson track.

Problem

If f(x)=−1x−2, find f(1)\text{If }f(x)=-1x-2\text{, find }f(1)

1. Recognize Pattern

f(x)=ax+b⇒f(k)=ak+bf(x)=ax+b\Rightarrow f(k)=ak+b

2. Apply Method

f(x)=3x+5,  f(6)=23f(x)=3x+5,\;f(6)=23

3. Conclude

f(1)=−1(1)−2=−3f(1)=-1(1)-2=-3

Final answer

f(1)=−1(1)−2=−3f(1)=-1(1)-2=-3
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