Skip to content
Functions and Notation
Example 6

Example 6: Function Evaluation

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

Problem

If f(x)=−5x−6, find f(7)\text{If }f(x)=-5x-6\text{, find }f(7)

1. Recognize Pattern

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

2. Apply Method

f(x)=−2x−1,  f(5)=−11f(x)=-2x-1,\;f(5)=-11

3. Conclude

f(7)=−5(7)−6=−41f(7)=-5(7)-6=-41

Final answer

f(7)=−5(7)−6=−41f(7)=-5(7)-6=-41
Previous exampleNext exampleBack to lessonsPractice this skillTry in calculator