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Functions and Notation
Lesson 5
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Lesson 5: Function Evaluation

Interpret function notation as substitution.

Function notation means a rule. Evaluate by replacing the variable with the given input and simplifying in order.

Key formula

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

Worked example

f(x)=−3x+1,  f(4)=−11f(x)=-3x+1,\;f(4)=-11

Checkpoint

If f(x)=4x+8, find f(−3)\text{If }f(x)=4x+8\text{, find }f(-3)

Recap

  • - f(x) names an output rule.
  • - Parentheses in f(k) indicate input, not multiplication.
  • - Use substitution carefully to avoid sign errors.
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