 f(x) = 8 − 3x2. Find the value of f(x) when x = 3

To find the value of \( f(x) \) when \( x = 3 \), we simply substitute \( x = 3 \) into the function \( f(x) = 8 - 3x^2 \):

\[
f(3) = 8 - 3(3)^2
\]

Now, calculate \( 3^2 = 9 \):

\[
f(3) = 8 - 3(9) = 8 - 27 = -19
\]

So, the value of \( f(3) \) is \( -19 \).

Would you like more details or have any questions about this?

Here are 5 related questions to expand your understanding:
1. What is the general process to evaluate any function \( f(x) \) for a given \( x \)?
2. How would the function behave for negative values of \( x \)?
3. Can you find \( f(x) \) when \( x = -2 \)?
4. What does the graph of \( f(x) = 8 - 3x^2 \) look like?
5. How does the coefficient of \( x^2 \) affect the shape of a quadratic function?

**Tip:** When evaluating functions, always remember to apply the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

f(x) = 8 − 3x^2. Find the value of f(x) when x = 3.

Learn how to evaluate the quadratic function f(x) = 8 - 3x^2 when x = 3. This detailed solution explains the steps using algebraic techniques and highlights key concepts such as functions and order of operations. Suitable for students in Grades 8-10.

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