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Functions and Notation
Example 9

Example 9: Function Evaluation

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

Problem

If f(x)=1x+0, find f(−4)\text{If }f(x)=1x+0\text{, find }f(-4)

1. Recognize Pattern

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

2. Apply Method

f(x)=5x−9,  f(7)=26f(x)=5x-9,\;f(7)=26

3. Conclude

f(−4)=1(−4)+0=−4f(-4)=1(-4)+0=-4

Final answer

f(−4)=1(−4)+0=−4f(-4)=1(-4)+0=-4
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