Use the following function rule to find f(3).

f(x)	 = 	
3	
|–8 − x|

f(3) =

The value of \( f(3) \) is \( 33 \).

Would you like further details or have any questions? Here are five related questions to extend your understanding:

1. What is the significance of the absolute value in this function?
2. How would you calculate \( f(-3) \) for the same function?
3. How does the function behave as \( x \) increases or decreases?
4. What happens to \( f(x) \) if the absolute value were removed?
5. Can you rewrite the function without the absolute value for \( x > -8 \)?

**Tip**: The absolute value function, \( |x| \), always returns a non-negative value regardless of the sign of \( x \).

Use the following function rule to find f(3): f(x) = 3 |−8 − x|. What is f(3)?

Discover how to calculate f(3) using the function f(x) = 3 |−8 − x|. This example teaches key concepts in algebra, such as absolute value and function evaluation. Ideal for students in Grades 8-10, the solution also includes a step-by-step explanation.

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