Given f(x) = 4(8 – x), what is the value of f(–12)?

To find the value of \( f(-12) \), you substitute \(-12\) for \( x \) in the function \( f(x) = 4(8 - x) \).

\[
f(-12) = 4(8 - (-12))
\]

Simplify inside the parentheses:

\[
f(-12) = 4(8 + 12)
\]

\[
f(-12) = 4(20)
\]

Now, multiply:

\[
f(-12) = 80
\]

So, the value of \( f(-12) \) is \( 80 \).

Would you like details on the steps? Here are 5 related questions to explore:

1. What is the general process for evaluating a function at a given value?
2. How do you interpret the function \( f(x) = 4(8 - x) \) graphically?
3. What is the effect of a negative input on a linear function like \( f(x) = 4(8 - x) \)?
4. How do you solve for the input \( x \) if given a specific output \( f(x) = y \)?
5. What happens to the function \( f(x) = 4(8 - x) \) if the coefficient 4 changes?

**Tip:** Always perform operations inside parentheses first when substituting values into a function.

Learn how to evaluate the linear function f(x) = 4(8 - x) by finding the value of f(-12). This step-by-step solution covers important algebraic concepts, such as substituting and simplifying expressions. Perfect for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation