Use the following function rule to find f(87).

f(x)	 = 	
x
3
 − 	8

f(87) = 

To find \( f(87) \) for the function \( f(x) = x^3 - 8 \), simply substitute \( x = 87 \) into the function:

\[
f(87) = 87^3 - 8
\]

Now, calculating \( 87^3 \):

\[
87^3 = 87 \times 87 \times 87 = 658,503
\]

Subtract 8 from \( 658,503 \):

\[
f(87) = 658,503 - 8 = 658,495
\]

So, \( f(87) = 658,495 \).

Would you like more details on this calculation or have any other questions?

Here are 5 related questions to explore:
1. What is the derivative of \( f(x) = x^3 - 8 \)?
2. What is the inverse of the function \( f(x) = x^3 - 8 \)?
3. How does the graph of \( f(x) = x^3 - 8 \) compare to the graph of \( f(x) = x^3 \)?
4. Find \( f(100) \) using the same function.
5. What is the value of \( x \) if \( f(x) = 1000 \)?

**Tip:** Cubing large numbers can often be simplified by recognizing patterns or using a calculator to ensure precision.

Use the following function rule to find f(87).

f(x) = x^3 − 8

f(87) = ?

Solve the problem of finding f(87) for the function f(x) = x^3 - 8. Follow a detailed step-by-step solution to substitute 87 into the cubic function and simplify the expression. This solution is suitable for students in Grades 9-11.

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