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Functions and Notation
Example 2

Example 2: Function Evaluation

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

Problem

If f(x)=−5x−7, find f(2)\text{If }f(x)=-5x-7\text{, find }f(2)

1. Recognize Pattern

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

2. Apply Method

f(x)=−4x−7,  f(3)=−19f(x)=-4x-7,\;f(3)=-19

3. Conclude

f(2)=−5(2)−7=−17f(2)=-5(2)-7=-17

Final answer

f(2)=−5(2)−7=−17f(2)=-5(2)-7=-17
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