Use the following function rule to find f(6).

f(x)	 = 	
2	
x
2
 

f(6) = 


The function given is:

\[
f(x) = 2x^2
\]

To find \( f(6) \), substitute \( x = 6 \) into the function:

\[
f(6) = 2 \times (6)^2
\]
\[
f(6) = 2 \times 36 = 72
\]

So, \( f(6) = 72 \).

Would you like more details or have any questions? Here are five related questions to deepen understanding:

1. What is \( f(x) \) when \( x = 4 \)?
2. How does the function \( f(x) = 2x^2 \) compare to \( f(x) = x^2 \)?
3. How would you find \( x \) if \( f(x) = 50 \)?
4. What is the rate of change of \( f(x) = 2x^2 \) at \( x = 6 \)?
5. What happens to \( f(x) \) as \( x \) increases to infinity?

**Tip:** Always square the value of \( x \) before multiplying by the coefficient when working with quadratic functions.

Use the following function rule to find f(6).

f(x) = 2x^2

f(6) = ?

Learn how to find f(6) in the quadratic function f(x) = 2x^2. This step-by-step solution explains key concepts in algebra, including function evaluation and quadratic functions. Suitable for students in Grades 7-9.

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